November 2018
Open RStudio and start a new script or continue the one from last week
Set your working directory to where you downloaded and unzipped the files
Follow along by opening r-geospatial-workshop-pt3.html in a web browser
Make sure required libraries are installed.
Open one of the tutorial files in a web browser
Slides r-geospatial-workshop-pt3.html
R Code scripts/r-geospatial-workshop-pt3.Rmd
Make sure you can cut and paste into RStudio
Review basic raster concepts
Read in our previous spatial data and new raster data
Make some raster and combined raster-vector maps
Run some raster and raster-vector operations and analyses
Let's load the libraries we will use
library(sp) # spatial objects and methods library(rgdal) # read/write from file; manage CRSs library(rgeos) # geometric operations library(tmap) # mapping spatial objects library(raster) # reading in and operating on rasters
Use setwd to set your working directory to the location of the tutorial files.
For example:
path = "/path/to/your/working_directory" setwd(path)
# Read in the 'sftracts_wpop' shapefile
tracts = readOGR('./data', 'sftracts_wpop')
## OGR data source with driver: ESRI Shapefile ## Source: "/home/ihavehands/Desktop/stuff/berk/dlab/r-geospatial-workshop/data", layer: "sftracts_wpop" ## with 195 features ## It has 10 fields
# Read in from CSV file print(list.files())
## [1] "data" ## [2] "DEM_reproject_crop.tif" ## [3] "drafts" ## [4] "Geospatial_Data_in_R_prep.docx" ## [5] "images" ## [6] "index.html" ## [7] "output" ## [8] "previous_versions" ## [9] "r-geospatial-cheatsheet.html" ## [10] "r-geospatial-cheatsheet.Rmd" ## [11] "r-geospatial-workshop-pt1-fall2018.html" ## [12] "r-geospatial-workshop-pt1-fall2018.Rmd" ## [13] "r-geospatial-workshop-pt1-tutorial.html" ## [14] "r-geospatial-workshop-pt1-tutorial.Rmd" ## [15] "r-geospatial-workshop-pt1.html" ## [16] "r-geospatial-workshop-pt1.Rmd" ## [17] "r-geospatial-workshop-pt2-tutorial.html" ## [18] "r-geospatial-workshop-pt2-tutorial.Rmd" ## [19] "r-geospatial-workshop-pt2.html" ## [20] "r-geospatial-workshop-pt2.Rmd" ## [21] "r-geospatial-workshop-pt3_files" ## [22] "r-geospatial-workshop-pt3.html" ## [23] "r-geospatial-workshop-pt3.Rmd" ## [24] "README.md" ## [25] "scripts" ## [26] "sf_properties.html" ## [27] "sf_properties.png"
sfhomes <- read.csv('./data/sf_properties.csv',
stringsAsFactors = FALSE)
# subset the data
sfhomes15 <- subset(sfhomes, as.numeric(SalesYear) == 2015)
sfhomes15_sp <- sfhomes15 # Make a copy
# Make it spatial
coordinates(sfhomes15_sp) <- c('lon','lat')
#Assign it a proj4string using the EPSG code
proj4string(sfhomes15_sp) <- CRS("+init=epsg:4326")
#Reproject to the tracts projection
#NOTE: We're overwriting the previous sfhomes15_sp object here! This is
#fine to do if we want, but we should always beware.
sfhomes15_sp = spTransform(sfhomes15_sp, CRS(proj4string(tracts)))
#check projection equality
proj4string(sfhomes15_sp) == proj4string(tracts)
## [1] TRUE
Using the fabulous raster package
# Reading in and plotting raster files
#read in a Bay Area DEM (Digital Elevation Model)
#(from http://www.webgis.com/terr_pages/CA/dem1/sanfrancisco.html)
DEM = raster('./data/san_francisco-e.DEM')
Make a quick map of the data to check it out
#plot it plot(DEM)
To see a summary of the structure and content of a RasterLayer object, we can just enter the object's name.
DEM
## class : RasterLayer ## dimensions : 1201, 1201, 1442401 (nrow, ncol, ncell) ## resolution : 0.0008333333, 0.0008333333 (x, y) ## extent : -123.0004, -121.9996, 36.99958, 38.00042 (xmin, xmax, ymin, ymax) ## coord. ref. : +proj=longlat +datum=NAD27 +no_defs +ellps=clrk66 +nadgrids=@conus,@alaska,@ntv2_0.gsb,@ntv1_can.dat ## data source : /home/ihavehands/Desktop/stuff/berk/dlab/r-geospatial-workshop/data/san_francisco-e.DEM ## names : san_francisco.e ## values : -32768, 32767 (min, max)
You can view more detail in the RStudio Environment pane.
Note that this display is formatted very similarly to the display for a Spatial*DataFrame object. There's a good amount of consistency across the main geospatial packages in R.
tracts
## class : SpatialPolygonsDataFrame ## features : 195 ## extent : -122.5145, -122.328, 37.70813, 37.86334 (xmin, xmax, ymin, ymax) ## coord. ref. : +proj=longlat +datum=NAD83 +no_defs +ellps=GRS80 +towgs84=0,0,0 ## variables : 10 ## names : STATEFP, COUNTYFP, TRACTCE, AFFGEOID, GEOID, NAME, LSAD, ALAND, AWATER, pop14 ## min values : 06, 075, 010100, 1400000US06075010100, 06075010100, 101, CT, 56564, 0, 45 ## max values : 06, 075, 980900, 1400000US06075980900, 06075980900, 9809, CT, 6108837, 123788357, 12391
A raster should really just be a matrix of data, with metadata assiging it the correct location on the Earth's surface, right? ## Explore the Structure
Well, here's some of the important metadata.
DEM@extent
## class : Extent ## xmin : -123.0004 ## xmax : -121.9996 ## ymin : 36.99958 ## ymax : 38.00042
DEM@crs
## CRS arguments: ## +proj=longlat +datum=NAD27 +no_defs +ellps=clrk66 ## +nadgrids=@conus,@alaska,@ntv2_0.gsb,@ntv1_can.dat
DEM@ncols
## [1] 1201
Note that this is very similar to the metadata of a Spatial*DataFrame object (although we get @extent and @crs slots for what are called @bbox and @proj4string in a Spatial*DataFrame object).
tracts@bbox
## min max ## x -122.51448 -122.32801 ## y 37.70813 37.86334
tracts@proj4string
## CRS arguments: ## +proj=longlat +datum=NAD83 +no_defs +ellps=GRS80 +towgs84=0,0,0
Also note that, because of the distinct nature of raster and vector data, RasterLayer and Spatial*DataFrame objects have some fundamentally different metadata.
For example, a RasterLayer has information on the resolution.
DEM
## class : RasterLayer ## dimensions : 1201, 1201, 1442401 (nrow, ncol, ncell) ## resolution : 0.0008333333, 0.0008333333 (x, y) ## extent : -123.0004, -121.9996, 36.99958, 38.00042 (xmin, xmax, ymin, ymax) ## coord. ref. : +proj=longlat +datum=NAD27 +no_defs +ellps=clrk66 +nadgrids=@conus,@alaska,@ntv2_0.gsb,@ntv1_can.dat ## data source : /home/ihavehands/Desktop/stuff/berk/dlab/r-geospatial-workshop/data/san_francisco-e.DEM ## names : san_francisco.e ## values : -32768, 32767 (min, max)
What does the resolution mean?
(DEM@extent@xmax - DEM@extent@xmin) / DEM@ncols
## [1] 0.0008333333
(DEM@extent@ymax - DEM@extent@ymin) / DEM@nrows
## [1] 0.0008333333
DEM
## class : RasterLayer ## dimensions : 1201, 1201, 1442401 (nrow, ncol, ncell) ## resolution : 0.0008333333, 0.0008333333 (x, y) ## extent : -123.0004, -121.9996, 36.99958, 38.00042 (xmin, xmax, ymin, ymax) ## coord. ref. : +proj=longlat +datum=NAD27 +no_defs +ellps=clrk66 +nadgrids=@conus,@alaska,@ntv2_0.gsb,@ntv1_can.dat ## data source : /home/ihavehands/Desktop/stuff/berk/dlab/r-geospatial-workshop/data/san_francisco-e.DEM ## names : san_francisco.e ## values : -32768, 32767 (min, max)
It's the cell-size! That is, the real-world distance of the x and y sides of each cell (i.e. pixel) in our RasterLayer, expressed in the distance units of the object (as determined by its projection).
As for our matrix of data, it should live somewhere inside the @data slot, right? (Just like our data.frame of attribute data lives in the Spatial*DataFrame@data slot.)
DEM@data
## An object of class ".SingleLayerData" ## Slot "values": ## logical(0) ## ## Slot "offset": ## [1] 0 ## ## Slot "gain": ## [1] 1 ## ## Slot "inmemory": ## [1] FALSE ## ## Slot "fromdisk": ## [1] TRUE ## ## Slot "isfactor": ## [1] FALSE ## ## Slot "attributes": ## list() ## ## Slot "haveminmax": ## [1] TRUE ## ## Slot "min": ## [1] -32768 ## ## Slot "max": ## [1] 32767 ## ## Slot "band": ## [1] 1 ## ## Slot "unit": ## [1] "" ## ## Slot "names": ## [1] "san_francisco.e"
There's a bunch of stuff there. Let's take a look at the @data@values slot…
DEM@data@values
## logical(0)
What happened there? How can our data be logical(0)? Where's our data?
DEM@data@inmemory
## [1] FALSE
DEM@data@fromdisk
## [1] TRUE
It appears our data was not all read into memory. Instead, our RasterLayer object contains a pointer to where that data is held on disk (to save memory).
How do we see the values, then?
Well, we can still subset the values, using two-dimensional subsetting notation, just as we'd expect for a matrix.
DEM[10:15, 20:30]
## [1] 39 41 39 41 38 36 27 21 15 9 4 24 25 23 26 23 23 17 12 8 5 2 10 ## [24] 11 9 11 9 10 7 4 2 1 0 2 2 2 2 2 2 2 1 0 0 0 0 0 ## [47] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
And we'll get back a vector of the values from that subsetted matrix, unfolded.
We can even subset the entire thing, getting back all of the values.
DEM[,]
## [1] 120 120 117 111 104 98 92 89 87 85 82 80 79 76 72 67 57
## [18] 45 32 20 12 6 3 1 0 0 0 0 0 0 0 0 0 0
## [35] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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## [86] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [103] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [120] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [137] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [154] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [171] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [188] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [205] 0 1 3 11 19 27 33 40 51 59 70 69 91 108 123 140 158
## [222] 168 185 196 204 205 204 194 195 186 172 164 152 135 118 101 81 69
## [239] 62 54 50 53 53 54 56 58 74 91 107 126 143 162 174 202 223
## [256] 234 246 260 282 308 336 367 383 385 379 371 359 345 325 311 280 259
## [273] 249 236 226 215 202 188 170 157 145 130 118 109 101 95 89 86 83
## [290] 81 82 79 79 85 90 96 99 100 103 111 119 122 123 124 125 128
## [307] 143 158 168 175 182 188 192 209 222 226 234 250 265 279 291 304 306
## [324] 305 326 344 355 367 379 389 395 395 391 380 371 365 352 329 314 300
## [341] 281 271 259 239 214 188 172 158 140 122 112 110 110 115 146 173 180
## [358] 182 212 243 263 275 282 265 249 218 202 198 191 189 194 194 196 193
## [375] 192 198 216 231 239 242 246 249 262 274 284 294 302 306 322 342 357
## [392] 368 374 371 362 357 357 355 356 360 368 376 379 387 397 406 418 419
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## [494] 141 156 169 178 183 180 172 160 146 133 119 106 94 84 76 68 63
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## [1446] 56 59 75 92 107 126 143 160 172 201 223 232 240 257 280 304 334
## [1463] 366 382 385 381 373 360 345 325 311 280 259 254 247 235 222 208 195
## [1480] 183 163 147 135 126 118 111 105 98 95 94 93 91 88 87 89 94
## [1497] 99 101 101 103 111 119 123 125 124 123 122 141 157 168 176 183 190
## [1514] 195 210 223 232 238 251 266 279 291 304 307 306 327 344 355 367 378
## [1531] 388 393 393 391 382 372 367 353 329 314 300 289 277 266 254 221 191
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## [1565] 264 249 218 202 191 186 186 186 187 190 187 184 195 214 230 233 232
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## [2024] 46 48 50 52 55 58 60 62 63 63 65 68 72 75 77 77 76
## [2041] 74 71 68 65 62 59 57 55 54 53 52 50 47 43 40 37 35
## [2058] 35 36 39 43 46 50 52 55 57 58 60 61 62 65 68 72 77
## [2075] 83 86 88 88 87 87 87 88 89 89 89 89 88 86 85 83 81
## [2092] 76 71 68 66 64 62 60 58 56 54 54 54 55 57 60 63 66
## [2109] 71 76 81 87 94 100 106 111 115 119 124 131 139 148 158 167 172
## [2126] 177 180 184 186 186 188 187 186 189 193 195 192 185 173 159 147 139
## [2143] 134 134 140 146 150 147 140 132 124 116 111 106 103 102 102 103 105
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## [2959] 37 37 37 37 37 37 37 39 41 42 43 43 44 46 48 50 53
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## [2993] 198 205 216 228 241 251 250 246 236 220 200 178 156 147 153 165 169
## [3010] 161 149 132 113 98 85 84 83 82 81 82 83 88 100 112 121 121
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## [ reached getOption("max.print") -- omitted 1342402 entries ]
And we could even then turn that vector back into a matrix of the proper dimensions.
#coerce our whole raser's dataset to a matrix, with the appropriate number #of columns, and matrix(DEM[,], ncol = ncol(DEM), byrow = TRUE)
## [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12]
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## [62,] 122 121 121 121 121 153 168 174 178
## [63,] 121 121 121 121 121 148 164 170 175
## [64,] 121 121 121 121 142 158 166 171 175
## [65,] 121 121 121 134 170 176 177 175 176
## [66,] 121 121 121 155 179 182 182 182 180
## [67,] 121 121 148 172 181 181 182 182 182
## [68,] 121 121 149 182 182 182 182 182 182
## [69,] 119 121 138 158 178 182 182 182 182
## [70,] 112 118 121 145 162 182 182 182 168
## [71,] 104 116 121 134 143 155 162 150 152
## [72,] 96 121 120 121 121 121 121 121 137
## [73,] 70 94 108 105 106 111 115 119 121
## [74,] 60 72 82 85 92 102 109 118 120
## [75,] 46 60 71 74 83 96 106 121 121
## [76,] 29 41 54 62 63 80 91 103 115
## [77,] 11 24 36 39 49 60 73 85 93
## [78,] 0 5 17 23 30 41 54 67 69
## [79,] 0 0 0 8 12 17 31 36 39
## [80,] 0 0 0 0 0 0 7 9 9
## [81,] 0 0 0 0 0 0 0 0 0
## [82,] 0 0 0 0 0 0 0 0 0
## [83,] 0 0 0 0 0 0 0 0 0
## [,290] [,291] [,292] [,293] [,294] [,295] [,296] [,297] [,298]
## [1,] 81 82 79 79 85 90 96 99 100
## [2,] 93 91 88 87 89 94 99 101 101
## [3,] 96 94 91 90 92 96 100 101 102
## [4,] 98 95 93 93 95 99 101 102 103
## [5,] 101 98 96 96 98 102 103 104 105
## [6,] 103 100 99 99 101 104 105 106 107
## [7,] 106 103 102 101 103 106 107 108 110
## [8,] 109 106 105 104 105 107 109 110 112
## [9,] 112 109 108 107 108 110 111 112 113
## [10,] 114 112 110 110 111 112 113 114 115
## [11,] 116 114 113 112 113 114 115 115 116
## [12,] 119 116 115 115 116 116 117 117 117
## [13,] 121 119 118 118 119 118 118 119 119
## [14,] 145 130 121 124 121 120 120 120 120
## [15,] 182 160 156 155 137 121 121 121 121
## [16,] 200 199 193 190 171 165 140 132 126
## [17,] 231 243 225 217 202 188 182 165 149
## [18,] 245 243 243 239 223 204 189 183 174
## [19,] 249 248 245 244 243 214 191 182 168
## [20,] 254 249 246 244 243 213 182 182 175
## [21,] 261 251 246 244 227 214 207 196 188
## [22,] 267 249 243 243 231 222 218 214 209
## [23,] 290 255 244 243 240 235 233 232 234
## [24,] 304 282 271 259 243 243 243 243 260
## [25,] 299 295 296 290 283 294 301 292 292
## [26,] 304 304 316 308 304 306 305 302 304
## [27,] 350 341 338 332 318 311 306 304 304
## [28,] 365 365 360 355 329 316 304 305 288
## [29,] 365 365 365 363 343 327 311 304 299
## [30,] 365 365 365 365 356 342 328 320 312
## [31,] 363 365 365 365 365 353 338 328 320
## [32,] 361 364 365 365 365 365 353 341 329
## [33,] 362 363 364 365 365 365 365 355 342
## [34,] 363 364 364 365 365 365 366 366 359
## [35,] 364 364 364 364 365 365 367 368 368
## [36,] 365 365 364 364 365 365 369 373 375
## [37,] 365 365 364 364 365 365 372 378 384
## [38,] 360 360 360 362 364 367 374 383 392
## [39,] 349 351 354 358 362 364 365 376 387
## [40,] 340 344 348 355 361 365 365 365 371
## [41,] 332 338 343 352 360 365 365 365 365
## [42,] 326 332 339 349 358 365 365 365 365
## [43,] 315 323 331 343 354 360 365 365 365
## [44,] 304 314 324 338 351 359 365 365 365
## [45,] 297 307 318 334 349 357 364 365 365
## [46,] 282 304 315 332 348 357 363 364 365
## [47,] 281 304 316 335 349 357 365 365 365
## [48,] 285 304 329 350 354 359 365 365 365
## [49,] 289 304 345 365 362 362 364 365 365
## [50,] 304 316 351 365 365 365 359 359 365
## [51,] 297 310 352 365 365 365 351 342 326
## [52,] 291 304 340 365 360 350 345 331 319
## [53,] 289 304 335 349 355 347 338 329 317
## [54,] 288 304 327 342 346 344 336 326 315
## [55,] 285 304 318 335 339 349 340 327 315
## [56,] 276 287 305 326 343 365 357 331 312
## [57,] 263 275 290 304 324 343 365 330 303
## [58,] 248 262 277 292 301 314 315 318 308
## [59,] 243 249 265 281 292 304 304 307 307
## [60,] 220 235 252 268 279 289 299 304 305
## [61,] 197 213 236 253 264 275 286 296 304
## [62,] 181 190 217 238 249 260 278 291 304
## [63,] 179 182 201 224 235 243 262 277 290
## [64,] 178 180 192 216 227 237 243 262 275
## [65,] 178 180 187 206 220 232 243 247 254
## [66,] 180 181 185 201 214 227 237 243 243
## [67,] 182 182 182 197 211 226 236 243 245
## [68,] 182 182 182 199 215 233 243 243 248
## [69,] 181 180 182 198 217 236 242 248 253
## [70,] 174 176 181 191 209 226 243 248 253
## [71,] 160 167 177 182 201 215 225 234 238
## [72,] 146 159 176 188 195 203 210 211 217
## [73,] 135 150 166 182 190 195 199 197 203
## [74,] 121 138 152 164 174 184 184 181 185
## [75,] 126 129 137 143 145 148 158 170 182
## [76,] 121 122 124 124 117 115 119 133 170
## [77,] 97 103 116 97 99 98 104 112 126
## [78,] 70 76 75 71 78 79 87 94 107
## [79,] 48 60 55 53 60 60 71 74 85
## [80,] 12 26 24 30 29 42 49 54 67
## [81,] 0 0 0 5 0 16 18 24 42
## [82,] 0 0 0 0 0 0 0 0 10
## [83,] 0 0 0 0 0 0 0 0 0
## [,299] [,300] [,301] [,302] [,303] [,304] [,305] [,306] [,307]
## [1,] 103 111 119 122 123 124 125 128 143
## [2,] 103 111 119 123 125 124 123 122 141
## [3,] 105 111 119 126 129 126 123 122 141
## [4,] 106 111 118 125 128 127 124 122 127
## [5,] 108 112 116 120 124 124 123 122 125
## [6,] 110 113 116 118 121 122 122 121 127
## [7,] 111 114 117 119 121 121 121 121 128
## [8,] 113 115 117 119 121 121 121 122 128
## [9,] 114 116 118 119 121 121 121 122 129
## [10,] 116 117 119 120 121 121 121 122 128
## [11,] 117 118 119 120 121 121 121 121 127
## [12,] 118 119 119 120 120 121 121 121 125
## [13,] 119 119 120 120 121 121 121 121 124
## [14,] 120 120 120 121 121 121 121 121 121
## [15,] 121 121 121 121 121 121 121 121 121
## [16,] 121 121 121 121 121 121 121 121 121
## [17,] 137 124 121 121 121 121 121 121 121
## [18,] 152 139 131 125 121 121 121 121 121
## [19,] 163 151 145 138 129 121 121 121 121
## [20,] 167 159 154 146 138 130 121 121 121
## [21,] 178 170 168 160 151 143 134 123 121
## [22,] 198 182 182 174 165 156 146 133 121
## [23,] 231 215 201 188 178 169 157 143 131
## [24,] 255 243 227 208 192 182 168 153 139
## [25,] 291 267 243 227 208 188 179 163 147
## [26,] 304 304 257 243 227 200 182 172 155
## [27,] 297 267 251 246 232 203 185 173 155
## [28,] 277 246 244 225 212 182 186 169 156
## [29,] 295 274 244 232 214 203 190 178 173
## [30,] 308 304 253 243 225 217 210 205 194
## [31,] 311 305 243 239 233 228 226 224 218
## [32,] 317 296 275 254 242 242 253 255 246
## [33,] 323 304 289 274 272 275 284 292 263
## [34,] 339 320 304 296 295 299 306 303 293
## [35,] 358 343 331 304 304 320 313 307 304
## [36,] 374 373 372 365 353 339 319 307 290
## [37,] 393 396 391 365 365 365 318 291 263
## [38,] 411 425 412 365 358 330 309 277 245
## [39,] 402 426 405 365 341 320 304 262 243
## [40,] 380 389 396 371 339 304 306 281 260
## [41,] 365 367 369 365 353 331 304 302 304
## [42,] 365 365 366 366 365 347 324 304 305
## [43,] 365 365 365 365 365 365 352 328 314
## [44,] 365 365 365 365 365 365 365 365 341
## [45,] 365 364 364 365 365 365 365 365 365
## [46,] 365 364 364 364 365 365 365 365 365
## [47,] 360 360 361 363 365 365 365 365 365
## [48,] 350 352 356 359 363 365 365 365 365
## [49,] 337 340 347 354 362 365 365 365 365
## [50,] 314 323 335 348 365 364 365 365 365
## [51,] 303 301 312 327 343 365 365 364 365
## [52,] 296 282 293 304 323 347 363 359 361
## [53,] 291 264 276 291 304 324 341 352 357
## [54,] 279 247 251 267 283 298 318 336 344
## [55,] 291 243 246 243 262 283 307 320 330
## [56,] 298 243 244 244 243 262 290 308 317
## [57,] 261 266 247 244 243 243 274 292 304
## [58,] 269 243 246 243 240 243 261 276 285
## [59,] 284 243 238 232 228 236 248 259 264
## [60,] 274 242 226 211 198 216 238 245 246
## [61,] 304 243 210 182 188 182 213 243 243
## [62,] 304 243 214 182 182 184 193 223 243
## [63,] 304 243 219 182 182 182 182 192 189
## [64,] 296 263 243 182 182 182 182 182 182
## [65,] 259 243 226 195 182 182 182 182 182
## [66,] 246 248 243 218 199 182 182 182 182
## [67,] 247 249 247 237 212 182 182 182 182
## [68,] 252 257 259 257 243 215 182 182 182
## [69,] 261 269 278 291 272 256 211 182 182
## [70,] 263 273 285 304 304 304 233 182 182
## [71,] 249 261 272 284 297 304 270 230 198
## [72,] 228 243 255 267 276 274 254 252 243
## [73,] 207 225 243 255 260 259 247 245 246
## [74,] 183 193 213 227 228 233 237 244 243
## [75,] 182 178 182 189 182 200 214 231 243
## [76,] 162 159 163 166 163 176 190 206 223
## [77,] 121 130 134 132 121 150 170 182 203
## [78,] 113 118 123 118 119 127 154 182 187
## [79,] 93 103 103 106 109 115 131 154 182
## [80,] 76 86 89 92 96 101 113 120 133
## [81,] 60 71 76 80 83 87 100 113 121
## [82,] 32 47 64 66 68 69 86 102 115
## [83,] 0 0 23 38 44 53 67 85 97
## [,308] [,309] [,310] [,311] [,312] [,313] [,314] [,315] [,316]
## [1,] 158 168 175 182 188 192 209 222 226
## [2,] 157 168 176 183 190 195 210 223 232
## [3,] 156 166 175 183 189 195 210 223 232
## [4,] 141 157 170 179 185 193 206 218 228
## [5,] 136 150 165 176 182 189 199 211 221
## [6,] 138 151 163 174 180 185 193 203 213
## [7,] 138 150 161 171 178 182 189 196 203
## [8,] 138 148 159 169 177 182 186 189 192
## [9,] 139 149 159 170 177 181 183 184 185
## [10,] 138 149 159 169 177 181 182 182 182
## [11,] 137 147 158 169 176 180 182 182 182
## [12,] 137 146 157 169 178 181 182 182 182
## [13,] 136 147 159 174 182 181 182 182 182
## [14,] 127 140 156 175 181 182 182 182 182
## [15,] 121 121 139 158 182 182 182 182 182
## [16,] 121 121 121 131 157 172 176 180 181
## [17,] 121 121 121 131 141 155 171 178 180
## [18,] 121 121 121 121 127 146 171 180 182
## [19,] 121 121 121 121 121 134 182 180 182
## [20,] 121 121 121 121 121 121 155 182 182
## [21,] 121 121 121 121 121 121 129 154 174
## [22,] 121 121 121 121 121 121 121 133 153
## [23,] 124 121 121 121 121 121 121 121 137
## [24,] 132 126 121 121 121 121 121 121 121
## [25,] 138 130 125 122 121 121 121 121 121
## [26,] 144 133 127 124 121 121 121 121 121
## [27,] 141 126 125 123 122 121 121 121 121
## [28,] 140 121 121 122 121 121 121 121 121
## [29,] 154 131 121 121 121 121 121 121 121
## [30,] 182 155 121 121 121 121 121 121 121
## [31,] 197 182 144 121 121 121 121 121 121
## [32,] 229 182 162 134 121 121 121 121 121
## [33,] 243 223 182 163 144 121 121 121 121
## [34,] 269 243 220 191 172 135 121 121 121
## [35,] 304 261 243 204 188 162 121 121 121
## [36,] 269 253 226 192 177 153 121 121 121
## [37,] 243 209 182 188 173 149 134 121 121
## [38,] 226 199 186 182 179 156 138 124 121
## [39,] 243 228 205 185 175 160 141 121 124
## [40,] 250 243 216 182 176 157 144 121 121
## [41,] 275 243 231 212 187 167 158 150 139
## [42,] 304 243 243 239 225 182 179 182 182
## [43,] 304 264 243 251 242 227 207 228 208
## [44,] 323 304 288 276 271 263 243 246 243
## [45,] 354 328 312 301 299 305 294 274 254
## [46,] 365 347 333 332 335 320 308 304 271
## [47,] 365 360 354 359 362 340 318 304 281
## [48,] 365 365 365 364 365 345 324 304 281
## [49,] 365 365 365 365 365 346 325 304 274
## [50,] 365 365 365 365 365 348 325 304 263
## [51,] 365 365 365 365 365 353 324 304 243
## [52,] 364 365 365 365 365 351 312 299 259
## [53,] 365 365 365 365 365 344 322 304 280
## [54,] 352 361 365 365 365 359 327 309 298
## [55,] 339 348 356 365 365 365 327 315 309
## [56,] 326 335 343 351 358 335 320 313 309
## [57,] 313 322 330 337 342 326 316 311 308
## [58,] 296 309 317 321 329 321 315 311 309
## [59,] 267 285 304 304 316 318 315 312 309
## [60,] 241 254 268 279 302 310 310 310 309
## [61,] 223 221 243 243 275 304 306 306 306
## [62,] 202 182 207 230 254 290 304 305 305
## [63,] 184 186 183 193 235 277 304 304 304
## [64,] 182 183 182 205 231 272 304 304 304
## [65,] 182 182 182 208 241 265 280 297 304
## [66,] 182 182 192 205 232 254 266 279 290
## [67,] 182 182 182 189 214 241 249 261 268
## [68,] 182 182 182 182 199 243 242 243 243
## [69,] 182 182 182 182 199 213 223 215 225
## [70,] 182 182 182 182 182 186 182 182 199
## [71,] 182 182 182 181 179 180 181 182 182
## [72,] 213 182 182 180 173 175 178 181 182
## [73,] 243 213 182 179 168 170 175 182 189
## [74,] 244 243 228 171 137 151 163 177 188
## [75,] 243 243 211 167 121 121 142 163 182
## [76,] 229 216 203 167 121 121 121 147 172
## [77,] 201 199 195 167 121 121 121 142 182
## [78,] 190 190 188 169 130 121 121 121 145
## [79,] 182 184 184 173 143 121 121 121 121
## [80,] 165 182 182 177 155 137 121 121 121
## [81,] 142 163 182 182 169 145 131 121 121
## [82,] 127 142 153 170 168 149 133 123 121
## [83,] 109 121 121 139 138 134 130 121 117
## [,317] [,318] [,319] [,320] [,321] [,322] [,323] [,324] [,325]
## [1,] 234 250 265 279 291 304 306 305 326
## [2,] 238 251 266 279 291 304 307 306 327
## [3,] 238 251 266 279 291 304 304 308 327
## [4,] 236 245 257 270 277 285 291 304 310
## [5,] 231 240 249 256 263 267 273 284 293
## [6,] 220 229 237 243 249 252 256 267 276
## [7,] 208 215 223 232 237 241 244 254 264
## [8,] 196 201 210 221 231 237 242 248 260
## [9,] 186 190 200 214 227 237 242 247 261
## [10,] 182 185 195 211 227 237 242 246 257
## [11,] 182 185 195 211 227 236 242 244 250
## [12,] 182 182 190 200 217 233 243 243 241
## [13,] 182 182 182 182 198 205 216 228 234
## [14,] 182 182 182 182 182 182 191 216 225
## [15,] 182 182 182 182 182 182 202 210 220
## [16,] 182 182 182 182 182 185 196 207 215
## [17,] 181 182 182 182 182 188 195 203 212
## [18,] 182 182 182 182 182 188 194 200 204
## [19,] 182 182 182 182 182 182 184 186 182
## [20,] 182 182 182 182 182 182 182 182 183
## [21,] 182 182 182 181 180 181 182 182 182
## [22,] 168 182 176 173 176 179 181 182 182
## [23,] 150 155 155 164 170 177 181 182 182
## [24,] 133 135 139 153 164 174 180 182 182
## [25,] 121 121 124 143 161 179 182 182 182
## [26,] 121 121 121 121 153 182 182 182 182
## [27,] 121 121 121 121 129 149 169 179 182
## [28,] 121 121 121 121 121 121 141 162 182
## [29,] 121 121 121 121 121 121 121 148 166
## [30,] 121 121 121 121 121 121 121 127 148
## [31,] 121 121 121 121 121 121 121 121 131
## [32,] 121 121 121 121 121 121 121 121 121
## [33,] 121 121 121 121 121 121 121 121 121
## [34,] 121 121 121 121 121 121 121 121 121
## [35,] 121 121 121 121 121 121 121 121 121
## [36,] 121 121 121 121 121 121 121 121 121
## [37,] 121 121 121 121 121 121 121 121 121
## [38,] 121 121 121 121 121 121 121 121 121
## [39,] 122 121 121 121 121 121 121 121 121
## [40,] 122 122 121 121 121 121 121 121 121
## [41,] 128 122 121 121 121 121 121 121 121
## [42,] 161 139 121 121 121 121 121 121 121
## [43,] 190 172 138 121 121 121 121 121 121
## [44,] 215 182 162 137 121 121 121 121 121
## [45,] 243 218 184 160 142 127 121 121 121
## [46,] 254 243 211 182 160 141 121 121 121
## [47,] 260 245 223 187 177 160 136 121 121
## [48,] 259 249 224 189 185 182 143 130 121
## [49,] 250 234 201 184 178 159 139 127 123
## [50,] 243 213 184 178 169 154 133 121 121
## [51,] 235 215 182 175 168 151 121 124 121
## [52,] 238 224 200 182 186 173 154 134 124
## [53,] 265 243 223 223 202 191 182 160 142
## [54,] 283 265 241 247 233 213 192 177 166
## [55,] 304 304 285 274 259 243 223 210 187
## [56,] 307 305 304 304 293 272 252 235 211
## [57,] 307 305 304 304 304 304 277 261 234
## [58,] 307 306 305 304 304 304 298 290 265
## [59,] 308 306 305 304 304 304 304 304 304
## [60,] 307 305 304 304 304 304 304 304 304
## [61,] 306 305 304 304 304 304 304 304 304
## [62,] 305 305 304 304 304 304 304 304 304
## [63,] 304 304 304 303 304 304 304 304 304
## [64,] 304 304 303 301 301 304 304 304 303
## [65,] 304 304 299 295 291 296 304 304 300
## [66,] 304 304 289 279 270 278 291 304 282
## [67,] 282 283 267 251 246 252 267 266 257
## [68,] 259 257 255 243 243 243 243 249 242
## [69,] 235 244 247 243 243 234 227 224 212
## [70,] 216 238 246 248 243 223 199 182 182
## [71,] 192 234 254 265 255 233 199 185 182
## [72,] 204 231 273 304 304 258 243 182 182
## [73,] 207 237 273 304 304 263 243 182 182
## [74,] 213 249 270 293 294 254 238 197 182
## [75,] 198 233 257 272 264 266 243 200 182
## [76,] 182 215 238 251 252 249 245 221 182
## [77,] 185 202 226 243 243 245 245 230 182
## [78,] 170 192 211 224 237 243 243 238 182
## [79,] 140 173 194 206 219 231 243 243 216
## [80,] 121 149 173 188 200 213 222 240 233
## [81,] 121 129 144 163 182 194 199 221 243
## [82,] 119 121 121 142 166 182 182 207 230
## [83,] 117 119 120 121 148 162 174 190 212
## [,326] [,327] [,328] [,329] [,330] [,331] [,332] [,333] [,334]
## [1,] 344 355 367 379 389 395 395 391 380
## [2,] 344 355 367 378 388 393 393 391 382
## [3,] 342 353 365 375 386 389 391 389 382
## [4,] 327 346 358 366 375 382 385 383 379
## [5,] 305 321 338 353 363 373 378 378 375
## [6,] 288 302 312 329 347 361 369 372 372
## [7,] 277 290 301 317 333 350 360 366 369
## [8,] 278 292 300 312 323 335 350 359 364
## [9,] 282 294 300 308 317 323 334 349 356
## [10,] 271 284 292 300 306 308 315 328 341
## [11,] 261 271 279 291 291 289 295 307 321
## [12,] 245 258 263 269 271 268 275 288 301
## [13,] 239 243 243 243 243 243 257 275 294
## [14,] 234 240 242 243 243 243 243 260 286
## [15,] 231 238 241 242 243 243 243 253 283
## [16,] 228 239 242 243 243 243 243 267 297
## [17,] 229 243 242 243 243 243 243 266 288
## [18,] 223 242 243 243 243 243 243 259 282
## [19,] 203 234 239 240 241 242 243 246 272
## [20,] 182 215 226 233 238 241 243 251 266
## [21,] 192 210 220 229 238 242 243 250 269
## [22,] 188 206 217 228 243 242 243 248 262
## [23,] 186 198 206 216 231 243 243 245 249
## [24,] 182 185 188 191 191 182 213 224 236
## [25,] 182 182 183 183 182 184 183 202 214
## [26,] 182 182 182 182 182 182 182 182 195
## [27,] 182 182 181 181 181 181 182 182 191
## [28,] 182 177 178 180 181 182 182 182 202
## [29,] 177 174 177 179 181 182 182 182 200
## [30,] 157 167 172 178 182 182 182 182 196
## [31,] 144 157 166 174 182 182 182 182 189
## [32,] 130 146 157 168 176 181 182 182 185
## [33,] 121 137 150 162 174 178 182 182 186
## [34,] 122 134 146 159 178 181 182 182 182
## [35,] 121 129 142 151 159 171 177 181 182
## [36,] 121 121 127 129 141 156 171 180 182
## [37,] 121 121 121 121 121 145 169 182 182
## [38,] 121 121 121 121 136 147 170 182 182
## [39,] 121 121 121 121 136 149 165 175 182
## [40,] 121 121 121 123 135 146 161 172 176
## [41,] 121 121 121 125 133 142 155 166 172
## [42,] 121 121 121 126 133 139 151 162 169
## [43,] 121 121 121 128 134 140 150 160 167
## [44,] 121 121 121 128 134 140 148 157 164
## [45,] 121 121 121 126 132 137 144 152 156
## [46,] 121 121 121 124 129 133 137 143 146
## [47,] 121 121 121 121 123 125 127 131 133
## [48,] 121 121 121 121 121 121 122 123 124
## [49,] 121 121 121 121 121 121 121 121 121
## [50,] 122 121 121 121 121 121 121 121 121
## [51,] 121 121 121 121 121 121 121 121 121
## [52,] 121 121 121 121 121 121 120 119 120
## [53,] 121 121 121 121 120 119 118 115 112
## [54,] 149 137 126 121 119 117 115 109 101
## [55,] 170 157 143 131 121 121 121 109 94
## [56,] 188 176 158 144 134 124 121 121 104
## [57,] 202 182 171 155 141 124 121 121 121
## [58,] 220 193 178 162 148 127 121 121 112
## [59,] 243 218 182 173 167 158 135 121 121
## [60,] 304 243 203 182 191 182 161 147 135
## [61,] 283 277 243 243 219 192 183 174 152
## [62,] 292 284 269 249 243 200 182 166 164
## [63,] 304 304 285 265 243 208 183 173 157
## [64,] 304 304 304 286 260 228 193 182 162
## [65,] 300 304 304 304 269 231 187 180 169
## [66,] 284 294 304 279 268 236 208 182 182
## [67,] 263 275 278 267 255 248 234 219 201
## [68,] 243 256 262 255 249 246 245 243 224
## [69,] 224 237 248 249 247 245 243 243 243
## [70,] 198 215 232 243 245 244 243 243 243
## [71,] 182 201 222 243 243 243 243 233 217
## [72,] 182 182 196 231 243 243 243 223 191
## [73,] 181 181 182 203 226 243 243 243 182
## [74,] 180 177 180 188 212 239 243 243 233
## [75,] 176 168 172 182 194 222 243 243 243
## [76,] 159 135 152 167 182 208 236 243 243
## [77,] 153 121 121 142 164 192 217 228 243
## [78,] 158 121 121 121 135 177 200 207 204
## [79,] 182 150 121 121 121 136 182 182 182
## [80,] 196 175 150 130 121 121 133 137 145
## [81,] 223 182 170 153 138 121 121 121 121
## [82,] 243 202 182 167 152 129 121 121 121
## [83,] 195 194 189 184 175 152 135 134 131
## [,335] [,336] [,337] [,338] [,339] [,340] [,341] [,342] [,343]
## [1,] 371 365 352 329 314 300 281 271 259
## [2,] 372 367 353 329 314 300 289 277 266
## [3,] 374 369 354 337 322 307 295 283 269
## [4,] 373 370 365 356 338 321 308 294 277
## [5,] 372 370 368 365 351 331 318 305 285
## [6,] 371 370 368 366 354 333 318 301 284
## [7,] 369 369 367 366 353 329 312 297 277
## [8,] 366 367 366 366 355 335 316 298 278
## [9,] 360 364 365 366 360 346 332 318 301
## [10,] 350 358 363 365 364 357 346 335 322
## [11,] 336 350 359 364 365 364 358 351 340
## [12,] 313 337 357 365 365 365 365 365 359
## [13,] 304 316 338 355 365 365 365 365 365
## [14,] 297 304 327 348 365 365 365 365 365
## [15,] 297 304 326 345 365 365 365 365 365
## [16,] 303 315 330 348 365 365 365 365 365
## [17,] 304 312 334 354 365 365 365 365 365
## [18,] 295 304 336 365 362 364 364 365 365
## [19,] 290 304 327 344 361 364 364 365 365
## [20,] 286 304 319 333 351 365 365 365 365
## [21,] 282 298 308 321 340 359 365 365 365
## [22,] 274 288 304 311 328 345 356 365 365
## [23,] 260 273 285 298 314 332 344 356 365
## [24,] 243 255 267 280 299 317 331 348 365
## [25,] 229 240 249 261 287 303 311 336 348
## [26,] 215 230 239 243 280 304 318 326 335
## [27,] 209 229 241 251 285 303 313 317 320
## [28,] 220 243 241 255 290 304 304 304 304
## [29,] 218 229 243 243 271 304 290 292 299
## [30,] 211 222 228 235 247 253 266 275 282
## [31,] 203 212 219 225 235 243 243 259 265
## [32,] 194 202 209 216 230 243 247 247 249
## [33,] 190 192 196 201 222 243 243 243 243
## [34,] 183 182 182 182 206 235 240 242 243
## [35,] 182 182 182 182 204 222 234 242 243
## [36,] 182 182 182 182 202 221 240 242 243
## [37,] 182 182 182 182 198 212 226 243 243
## [38,] 182 182 182 182 188 190 205 220 228
## [39,] 182 182 182 182 182 183 182 207 219
## [40,] 180 182 182 182 182 182 206 201 214
## [41,] 178 182 182 182 182 182 201 208 211
## [42,] 176 182 182 182 182 182 196 201 206
## [43,] 174 182 182 182 182 182 189 193 196
## [44,] 171 182 182 182 182 182 182 184 185
## [45,] 161 167 176 182 182 182 182 182 183
## [46,] 149 152 156 175 182 182 182 182 177
## [47,] 134 133 131 147 157 159 159 158 167
## [48,] 124 121 123 121 135 136 136 141 150
## [49,] 122 121 121 122 121 121 121 131 140
## [50,] 121 121 121 121 121 121 121 121 126
## [51,] 121 121 121 121 121 121 120 120 121
## [52,] 121 121 121 121 121 119 117 116 119
## [53,] 113 121 121 121 121 114 109 106 108
## [54,] 93 88 91 121 112 103 98 94 95
## [55,] 79 60 65 72 89 86 84 82 81
## [56,] 82 60 60 61 66 71 71 70 68
## [57,] 92 78 60 60 60 60 62 63 60
## [58,] 104 95 78 60 60 60 60 60 60
## [59,] 121 121 101 71 60 60 60 60 60
## [60,] 129 124 121 89 60 60 60 60 60
## [61,] 140 131 124 108 74 60 60 60 60
## [62,] 147 134 125 110 80 60 60 60 60
## [63,] 143 126 121 103 78 60 60 60 60
## [64,] 145 130 121 107 71 60 60 60 60
## [65,] 150 125 122 95 60 61 60 60 60
## [66,] 164 145 121 99 60 60 60 60 60
## [67,] 187 172 146 118 60 60 60 60 60
## [68,] 203 182 163 130 60 60 60 60 60
## [69,] 230 182 165 133 81 60 60 60 60
## [70,] 208 182 172 145 121 60 60 60 60
## [71,] 198 192 182 153 121 101 60 60 60
## [72,] 185 184 184 157 129 121 60 60 60
## [73,] 182 178 150 121 121 94 60 60 60
## [74,] 199 176 147 125 115 95 60 60 60
## [75,] 243 214 170 142 127 121 60 60 60
## [76,] 243 227 176 151 134 121 71 60 61
## [77,] 217 207 178 154 137 121 60 68 62
## [78,] 201 193 180 154 134 121 60 61 62
## [79,] 182 182 158 139 121 60 86 64 61
## [80,] 145 133 132 130 121 76 60 65 60
## [81,] 121 124 121 121 100 94 81 60 60
## [82,] 121 121 122 121 105 97 91 77 60
## [83,] 121 121 121 121 117 115 113 98 89
## [,344] [,345] [,346] [,347] [,348] [,349] [,350] [,351] [,352]
## [1,] 239 214 188 172 158 140 122 112 110
## [2,] 254 221 191 173 159 141 131 124 117
## [3,] 256 222 192 174 159 141 131 125 119
## [4,] 260 222 193 174 157 140 129 124 120
## [5,] 266 227 196 176 159 141 133 125 123
## [6,] 264 227 199 182 174 163 143 131 131
## [7,] 260 232 208 194 192 183 173 157 142
## [8,] 258 243 229 219 213 201 188 176 157
## [9,] 286 268 255 244 235 216 199 182 162
## [10,] 309 297 280 265 251 229 205 184 161
## [11,] 327 314 300 280 261 224 202 181 157
## [12,] 345 328 309 293 264 243 197 178 161
## [13,] 365 339 312 277 243 231 210 182 167
## [14,] 365 346 317 294 243 224 206 182 173
## [15,] 365 349 321 304 243 227 211 199 182
## [16,] 365 350 316 277 243 233 224 216 210
## [17,] 365 365 319 284 243 243 240 236 234
## [18,] 365 365 333 304 272 243 243 242 242
## [19,] 365 365 349 316 297 276 258 258 261
## [20,] 366 366 365 345 332 304 288 302 307
## [21,] 366 367 367 368 367 350 335 349 350
## [22,] 367 368 369 374 376 378 381 385 381
## [23,] 368 370 372 382 389 397 405 416 415
## [24,] 369 371 376 387 398 410 426 423 426
## [25,] 357 361 367 382 396 411 426 426 426
## [26,] 341 347 357 365 387 406 426 426 426
## [27,] 327 336 348 361 371 391 416 426 426
## [28,] 313 322 336 350 358 365 391 413 420
## [29,] 304 319 333 343 353 365 377 382 398
## [30,] 291 304 319 329 339 348 357 362 378
## [31,] 275 291 304 314 324 331 338 347 361
## [32,] 260 279 299 304 309 311 322 333 349
## [33,] 243 270 304 304 304 301 304 316 336
## [34,] 243 255 269 278 281 290 297 303 318
## [35,] 243 245 243 256 265 278 289 299 304
## [36,] 243 243 243 243 250 270 286 302 308
## [37,] 240 242 243 243 257 264 279 291 304
## [38,] 238 241 243 243 255 265 272 283 294
## [39,] 230 240 243 243 251 256 259 269 281
## [40,] 224 238 243 243 243 243 243 253 267
## [41,] 217 227 236 238 236 230 234 240 249
## [42,] 209 215 220 221 218 214 220 227 234
## [43,] 196 202 206 206 204 198 205 213 218
## [44,] 182 188 191 191 189 182 191 200 203
## [45,] 182 183 184 185 185 182 182 187 188
## [46,] 178 181 182 182 183 182 181 182 182
## [47,] 172 179 182 182 182 181 180 181 182
## [48,] 158 169 182 182 170 175 176 180 182
## [49,] 148 159 165 161 162 167 172 178 182
## [50,] 134 142 147 141 148 155 163 174 182
## [51,] 121 126 127 121 133 143 153 169 182
## [52,] 121 122 118 119 121 127 140 162 182
## [53,] 109 108 110 113 116 120 121 152 173
## [54,] 94 93 101 106 112 117 121 143 167
## [55,] 78 78 90 98 106 114 121 139 160
## [56,] 64 64 78 89 98 108 118 132 152
## [57,] 62 60 66 77 88 100 111 127 143
## [58,] 60 60 60 65 76 90 103 120 133
## [59,] 60 60 60 60 60 78 92 108 121
## [60,] 60 60 60 60 60 70 84 102 121
## [61,] 60 60 60 60 60 63 75 90 105
## [62,] 60 60 60 60 60 60 66 76 93
## [63,] 60 60 60 60 60 60 60 63 82
## [64,] 60 60 60 60 60 60 60 60 72
## [65,] 60 60 60 60 60 60 60 60 68
## [66,] 60 60 60 60 60 60 60 60 60
## [67,] 60 60 60 60 60 60 60 60 60
## [68,] 60 60 60 60 60 60 60 60 60
## [69,] 60 60 60 60 60 60 60 60 60
## [70,] 60 60 60 60 60 60 60 60 60
## [71,] 60 60 60 60 60 60 60 60 60
## [72,] 60 60 60 60 60 60 60 60 60
## [73,] 60 60 60 60 60 60 60 60 60
## [74,] 60 60 60 60 60 60 60 60 60
## [75,] 60 60 60 61 60 60 60 60 60
## [76,] 60 60 62 62 61 60 60 60 60
## [77,] 61 60 66 67 60 60 60 60 60
## [78,] 61 76 81 83 73 65 62 61 60
## [79,] 81 97 103 106 86 74 67 62 61
## [80,] 90 121 121 121 96 80 69 63 61
## [81,] 88 121 121 121 102 83 66 62 61
## [82,] 91 89 108 121 96 79 61 61 60
## [83,] 65 60 72 77 80 73 60 61 60
## [,353] [,354] [,355] [,356] [,357] [,358] [,359] [,360] [,361]
## [1,] 110 115 146 173 180 182 212 243 263
## [2,] 113 116 147 173 182 184 214 243 263
## [3,] 114 117 147 173 187 191 217 245 264
## [4,] 117 118 128 148 165 189 228 257 270
## [5,] 121 120 122 134 147 178 234 273 286
## [6,] 125 122 122 124 137 173 235 274 291
## [7,] 131 125 124 126 142 174 236 275 291
## [8,] 139 129 127 134 156 178 209 250 259
## [9,] 141 130 126 127 135 158 189 217 225
## [10,] 142 130 124 123 124 139 166 179 192
## [11,] 139 129 124 122 121 129 143 155 161
## [12,] 137 121 121 121 121 121 125 130 131
## [13,] 150 136 121 121 121 121 121 121 121
## [14,] 165 157 144 132 125 121 121 121 121
## [15,] 182 182 167 156 145 133 121 121 121
## [16,] 212 200 188 176 164 149 129 121 121
## [17,] 243 227 209 195 182 174 161 131 121
## [18,] 242 243 221 210 206 203 188 162 137
## [19,] 252 243 238 232 234 233 218 182 159
## [20,] 273 264 243 243 261 254 245 205 182
## [21,] 298 309 306 288 292 274 250 222 207
## [22,] 365 365 365 304 309 304 256 233 227
## [23,] 412 397 384 372 345 304 278 254 249
## [24,] 426 426 410 395 380 365 297 277 267
## [25,] 426 426 426 418 403 385 353 297 282
## [26,] 426 426 426 426 426 402 378 365 304
## [27,] 426 426 426 426 426 412 382 365 335
## [28,] 426 426 426 426 426 420 389 360 339
## [29,] 416 426 426 426 426 426 416 387 365
## [30,] 399 413 426 426 426 426 426 416 396
## [31,] 380 398 413 426 426 426 426 426 426
## [32,] 365 381 396 410 422 426 426 426 426
## [33,] 355 365 381 396 411 426 426 426 426
## [34,] 344 359 369 381 396 415 426 426 426
## [35,] 328 344 356 365 382 403 426 426 426
## [36,] 320 332 347 360 369 388 408 421 426
## [37,] 313 323 335 346 356 372 393 405 426
## [38,] 304 314 328 338 347 361 380 387 408
## [39,] 295 304 316 325 334 348 359 363 379
## [40,] 281 291 304 313 321 335 345 353 360
## [41,] 262 268 282 297 309 322 335 343 352
## [42,] 243 243 259 277 291 309 324 335 346
## [43,] 229 237 243 259 273 294 310 326 339
## [44,] 214 226 236 243 256 284 304 316 330
## [45,] 199 215 228 239 243 281 304 311 319
## [46,] 182 208 226 243 261 290 299 303 306
## [47,] 190 205 225 243 262 288 304 303 303
## [48,] 197 213 226 243 259 276 291 304 304
## [49,] 197 213 228 243 255 268 279 283 279
## [50,] 197 212 227 243 246 253 259 261 257
## [51,] 196 211 226 243 243 244 246 246 243
## [52,] 192 206 220 235 243 243 243 241 240
## [53,] 182 197 206 214 218 229 232 235 238
## [54,] 182 186 189 191 192 208 222 229 235
## [55,] 171 182 179 181 182 191 212 223 233
## [56,] 162 168 174 179 182 190 202 214 224
## [57,] 153 162 170 179 182 189 192 202 208
## [58,] 143 154 165 177 182 183 182 187 189
## [59,] 131 141 153 163 167 171 177 179 182
## [60,] 121 131 145 153 157 163 171 177 182
## [61,] 114 121 133 139 143 149 159 171 182
## [62,] 104 114 121 124 124 121 138 158 170
## [63,] 94 106 116 121 121 121 127 144 154
## [64,] 83 94 103 108 118 121 128 133 137
## [65,] 73 82 91 100 111 121 121 122 123
## [66,] 60 70 79 89 105 121 121 121 121
## [67,] 60 60 65 75 94 108 115 118 120
## [68,] 60 60 60 60 82 96 104 110 117
## [69,] 60 60 60 66 75 88 98 106 114
## [70,] 60 60 60 60 65 76 88 99 110
## [71,] 60 60 60 60 60 60 77 89 99
## [72,] 60 60 60 60 60 60 68 76 83
## [73,] 60 60 60 60 60 60 60 63 66
## [74,] 60 60 60 60 60 60 60 60 61
## [75,] 60 60 60 60 60 60 60 59 59
## [76,] 60 60 60 60 60 59 58 57 56
## [77,] 60 60 60 60 60 58 57 55 54
## [78,] 60 60 60 60 59 57 55 53 51
## [79,] 60 60 60 60 59 56 53 51 48
## [80,] 60 60 60 60 58 55 52 49 46
## [81,] 60 60 60 60 58 53 50 46 43
## [82,] 60 60 60 60 57 52 47 44 40
## [83,] 60 60 60 60 56 50 45 41 37
## [,362] [,363] [,364] [,365] [,366] [,367] [,368] [,369] [,370]
## [1,] 275 282 265 249 218 202 198 191 189
## [2,] 275 279 264 249 218 202 191 186 186
## [3,] 276 271 257 240 211 196 188 184 184
## [4,] 272 258 247 220 205 193 185 181 178
## [5,] 283 265 240 213 196 188 181 176 172
## [6,] 290 266 240 212 194 182 174 168 162
## [7,] 283 262 237 210 190 178 167 158 151
## [8,] 255 243 226 205 186 171 159 148 140
## [9,] 218 211 197 184 170 158 147 139 132
## [10,] 190 181 175 164 154 145 137 133 132
## [11,] 159 154 151 145 138 133 131 133 136
## [12,] 130 129 128 126 122 123 131 136 143
## [13,] 121 121 121 121 121 127 138 156 168
## [14,] 121 121 121 121 121 126 129 175 184
## [15,] 121 121 121 121 121 121 182 173 192
## [16,] 121 121 121 121 121 182 170 188 197
## [17,] 121 121 121 121 126 170 182 192 204
## [18,] 121 121 121 121 121 147 182 189 199
## [19,] 133 121 121 121 121 129 148 171 187
## [20,] 163 143 121 121 121 121 121 141 163
## [21,] 192 172 152 126 121 121 121 121 140
## [22,] 220 199 182 145 121 121 121 121 121
## [23,] 245 229 198 164 131 121 121 121 121
## [24,] 255 245 243 176 153 138 121 121 121
## [25,] 268 251 236 208 175 160 144 129 121
## [26,] 289 269 256 233 204 182 167 152 137
## [27,] 304 280 266 249 223 201 182 167 152
## [28,] 304 293 280 263 243 224 207 192 175
## [29,] 337 304 294 281 259 243 228 221 202
## [30,] 379 370 335 305 284 267 256 248 233
## [31,] 410 392 377 335 310 291 286 270 253
## [32,] 426 410 397 377 347 305 306 295 271
## [33,] 426 426 414 393 373 365 316 304 292
## [34,] 426 426 426 409 382 365 342 306 296
## [35,] 426 426 426 421 395 378 365 304 288
## [36,] 426 426 426 426 409 388 365 325 299
## [37,] 426 426 426 426 426 408 388 365 338
## [38,] 426 426 426 426 426 426 406 386 365
## [39,] 407 420 426 426 426 426 426 416 396
## [40,] 365 386 411 426 426 426 426 426 426
## [41,] 360 365 389 418 426 426 426 426 426
## [42,] 356 365 382 404 426 426 426 426 426
## [43,] 351 365 375 389 405 419 426 426 426
## [44,] 341 351 365 371 382 396 409 426 426
## [45,] 326 333 335 347 360 373 377 397 416
## [46,] 309 311 311 313 336 346 358 365 386
## [47,] 305 305 294 301 312 326 345 357 365
## [48,] 289 278 275 286 296 304 327 342 359
## [49,] 275 261 261 275 286 296 304 323 345
## [50,] 249 245 246 260 273 285 296 304 328
## [51,] 244 243 243 243 262 275 288 296 304
## [52,] 242 243 243 247 256 268 279 289 297
## [53,] 240 242 243 251 259 265 274 282 291
## [54,] 240 243 243 250 257 263 270 277 285
## [55,] 243 243 243 249 254 260 266 273 279
## [56,] 237 243 243 247 250 255 261 268 274
## [57,] 219 232 243 243 243 249 256 263 269
## [58,] 207 222 234 241 243 243 252 259 265
## [59,] 188 209 225 239 243 245 249 254 260
## [60,] 193 199 220 243 242 246 248 249 252
## [61,] 190 199 209 224 233 236 238 239 240
## [62,] 182 190 195 207 210 216 222 227 231
## [63,] 162 172 178 188 189 199 209 216 227
## [64,] 139 148 162 175 182 182 197 206 218
## [65,] 122 128 147 166 177 186 190 195 204
## [66,] 121 122 131 153 160 170 182 182 188
## [67,] 121 121 131 139 142 149 149 151 164
## [68,] 121 121 122 125 121 126 121 121 130
## [69,] 121 121 121 121 121 121 122 121 121
## [70,] 121 121 118 110 113 117 121 121 132
## [71,] 108 121 102 101 106 113 121 121 135
## [72,] 90 87 82 73 91 103 116 121 135
## [73,] 69 71 64 60 69 85 100 112 129
## [74,] 62 62 61 60 60 67 86 101 120
## [75,] 60 60 59 59 60 60 73 85 105
## [76,] 57 55 57 57 59 63 65 67 91
## [77,] 53 52 53 52 54 56 60 60 73
## [78,] 50 48 48 46 47 49 53 56 67
## [79,] 46 43 42 40 40 41 45 48 57
## [80,] 44 40 39 36 35 35 38 41 49
## [81,] 40 36 33 29 27 26 28 29 35
## [82,] 36 31 26 23 19 17 16 17 20
## [83,] 32 26 20 16 11 8 4 4 5
## [,371] [,372] [,373] [,374] [,375] [,376] [,377] [,378] [,379]
## [1,] 194 194 196 193 192 198 216 231 239
## [2,] 186 187 190 187 184 195 214 230 233
## [3,] 182 182 185 181 178 185 202 215 219
## [4,] 175 175 176 170 169 172 182 192 191
## [5,] 167 164 163 159 157 161 167 173 178
## [6,] 155 151 149 146 145 149 154 158 163
## [7,] 144 139 137 135 134 138 142 144 148
## [8,] 134 131 129 126 126 128 130 133 135
## [9,] 130 131 130 126 124 125 125 125 126
## [10,] 132 136 132 129 130 128 127 129 127
## [11,] 138 144 134 147 137 132 148 136 133
## [12,] 148 152 185 190 193 194 198 192 157
## [13,] 182 184 202 212 225 230 243 243 196
## [14,] 191 208 223 236 248 256 258 253 209
## [15,] 205 225 243 256 270 285 280 268 249
## [16,] 213 237 250 268 288 304 304 282 252
## [17,] 218 239 256 272 295 302 303 304 268
## [18,] 211 227 243 257 276 293 304 304 295
## [19,] 198 215 233 243 261 291 304 304 304
## [20,] 182 202 223 235 243 304 302 304 304
## [21,] 164 190 213 228 243 284 304 304 304
## [22,] 151 186 202 216 229 243 263 282 289
## [23,] 129 160 188 200 212 224 236 252 268
## [24,] 121 131 161 182 194 206 215 225 243
## [25,] 121 121 131 152 172 188 191 193 215
## [26,] 121 121 121 121 142 155 167 179 182
## [27,] 136 121 121 121 121 138 151 176 182
## [28,] 157 130 121 121 121 121 131 179 195
## [29,] 182 150 121 121 121 121 121 166 189
## [30,] 208 169 121 121 121 121 127 147 174
## [31,] 243 195 148 121 121 121 121 129 151
## [32,] 250 207 165 148 130 121 121 121 129
## [33,] 263 213 182 167 153 137 121 121 121
## [34,] 270 233 203 190 175 160 155 138 121
## [35,] 256 233 227 220 201 182 182 179 182
## [36,] 276 256 252 243 222 209 192 188 189
## [37,] 297 286 277 258 249 235 220 219 208
## [38,] 320 304 291 279 271 259 243 243 228
## [39,] 365 331 313 298 296 292 278 267 248
## [40,] 396 365 345 351 365 324 304 294 261
## [41,] 421 396 383 383 376 369 352 313 281
## [42,] 426 426 426 426 404 385 365 342 304
## [43,] 426 428 432 434 430 416 395 374 350
## [44,] 426 430 439 448 445 436 426 402 381
## [45,] 426 434 449 466 465 455 441 425 415
## [46,] 417 438 460 487 487 474 456 444 439
## [47,] 402 426 458 487 487 487 464 454 452
## [48,] 386 426 443 455 471 478 474 469 471
## [49,] 376 406 426 438 450 457 466 477 482
## [50,] 363 391 406 420 432 442 456 475 484
## [51,] 347 375 392 404 415 426 453 487 487
## [52,] 318 365 378 390 402 413 431 471 478
## [53,] 301 331 365 376 389 401 420 438 451
## [54,] 295 304 332 365 376 388 405 421 432
## [55,] 290 299 304 331 365 374 390 406 417
## [56,] 284 293 299 304 329 355 376 392 405
## [57,] 278 287 294 300 304 332 358 377 395
## [58,] 274 283 290 298 304 321 348 365 389
## [59,] 267 276 284 293 302 309 339 365 380
## [60,] 256 266 277 287 297 304 333 365 373
## [61,] 242 250 268 283 297 304 325 342 354
## [62,] 238 243 262 281 304 308 314 321 331
## [63,] 237 243 258 270 281 293 296 300 311
## [64,] 231 243 251 256 260 270 273 279 285
## [65,] 215 223 231 235 240 250 251 252 263
## [66,] 196 200 201 210 225 233 240 243 243
## [67,] 177 181 182 189 211 224 235 242 243
## [68,] 161 176 182 194 201 217 235 243 243
## [69,] 154 175 182 196 209 219 239 242 243
## [70,] 158 182 187 199 212 225 243 243 243
## [71,] 158 170 182 199 210 220 236 243 243
## [72,] 153 168 182 193 202 210 219 231 235
## [73,] 149 164 182 188 192 196 198 201 210
## [74,] 137 153 163 175 183 184 172 172 189
## [75,] 121 139 147 154 155 152 141 121 121
## [76,] 115 126 128 130 128 127 112 110 129
## [77,] 99 104 108 107 106 98 85 91 103
## [78,] 84 87 89 86 84 72 62 69 91
## [79,] 70 69 71 71 67 62 60 60 78
## [80,] 60 60 64 64 60 60 61 60 75
## [81,] 42 49 54 53 55 57 60 60 64
## [82,] 27 32 37 37 44 52 60 60 60
## [83,] 13 16 23 25 32 40 50 55 55
## [,380] [,381] [,382] [,383] [,384] [,385] [,386] [,387] [,388]
## [1,] 242 246 249 262 274 284 294 302 306
## [2,] 232 233 237 257 272 281 289 300 303
## [3,] 220 215 220 240 251 263 278 291 295
## [4,] 195 194 199 210 222 234 249 265 281
## [5,] 178 179 183 193 206 218 231 249 267
## [6,] 165 169 173 181 192 204 221 235 252
## [7,] 153 160 167 174 183 195 211 228 241
## [8,] 141 149 158 169 178 190 200 213 225
## [9,] 130 137 142 154 168 181 189 199 209
## [10,] 124 128 131 137 148 163 175 187 194
## [11,] 126 123 123 126 133 151 166 178 183
## [12,] 129 121 121 121 121 130 174 180 181
## [13,] 155 139 121 121 121 182 182 182 182
## [14,] 176 168 175 186 196 217 228 202 182
## [15,] 182 182 191 206 220 244 259 255 259
## [16,] 182 182 199 212 226 251 274 289 304
## [17,] 213 182 203 218 230 257 297 301 302
## [18,] 265 243 217 228 235 259 304 306 305
## [19,] 294 274 261 259 258 278 304 310 315
## [20,] 304 304 304 304 292 299 315 318 326
## [21,] 304 304 304 304 304 309 323 330 340
## [22,] 304 304 304 304 304 315 330 341 355
## [23,] 283 294 300 304 304 317 332 345 360
## [24,] 259 269 277 291 304 309 325 338 352
## [25,] 235 256 261 275 288 302 317 332 347
## [26,] 213 237 243 251 274 297 307 318 330
## [27,] 203 226 243 257 265 294 304 306 304
## [28,] 206 222 243 252 263 277 292 298 300
## [29,] 202 215 227 243 252 259 262 274 287
## [30,] 188 200 212 222 236 243 242 252 269
## [31,] 166 182 194 199 213 226 237 243 252
## [32,] 144 159 170 178 190 206 223 232 243
## [33,] 121 136 139 153 169 189 207 215 228
## [34,] 121 121 121 129 144 164 188 191 206
## [35,] 142 121 121 121 121 132 155 170 182
## [36,] 182 148 121 121 121 121 138 145 149
## [37,] 196 186 167 133 121 121 121 121 121
## [38,] 212 195 182 161 131 121 121 121 121
## [39,] 234 208 190 176 158 153 152 152 145
## [40,] 243 225 209 197 182 182 182 182 182
## [41,] 255 238 226 219 215 216 218 228 208
## [42,] 285 265 243 243 243 243 243 245 243
## [43,] 319 294 279 272 276 289 292 272 257
## [44,] 365 365 304 298 300 314 312 304 283
## [45,] 413 391 374 335 329 340 337 323 309
## [46,] 434 426 405 384 365 365 365 345 320
## [47,] 450 441 426 406 384 367 365 365 324
## [48,] 478 475 455 433 405 367 360 331 314
## [49,] 487 487 487 449 419 384 365 304 296
## [50,] 486 487 469 455 433 393 365 304 285
## [51,] 486 487 468 454 433 396 365 304 290
## [52,] 478 467 459 450 432 399 365 325 300
## [53,] 456 452 448 441 431 411 391 365 304
## [54,] 440 438 436 434 431 428 417 397 376
## [55,] 426 429 429 430 431 431 430 426 406
## [56,] 417 426 426 429 433 436 437 437 435
## [57,] 410 422 426 431 436 442 447 452 459
## [58,] 406 426 428 433 439 447 455 464 475
## [59,] 393 403 417 429 431 443 455 470 487
## [60,] 377 382 388 391 405 426 444 464 487
## [61,] 357 357 357 359 369 397 418 439 487
## [62,] 333 334 334 338 353 365 398 426 426
## [63,] 311 312 312 315 338 359 373 393 405
## [64,] 292 298 302 304 318 342 352 365 365
## [65,] 276 290 301 309 320 326 333 336 334
## [66,] 261 285 304 304 307 309 311 311 304
## [67,] 253 277 304 304 304 304 304 304 286
## [68,] 260 275 285 296 274 274 259 253 243
## [69,] 256 267 277 272 258 243 248 244 243
## [70,] 247 252 256 251 242 241 242 243 243
## [71,] 243 243 243 239 234 237 238 240 242
## [72,] 236 235 230 224 227 231 234 238 241
## [73,] 216 214 213 212 219 225 229 234 239
## [74,] 198 198 198 200 211 217 223 230 239
## [75,] 182 182 182 187 201 208 215 223 243
## [76,] 123 121 137 175 187 190 192 194 195
## [77,] 117 121 136 154 182 164 166 169 174
## [78,] 110 121 130 142 146 145 150 156 165
## [79,] 102 121 121 124 125 120 128 138 148
## [80,] 89 101 121 96 94 105 114 121 131
## [81,] 70 72 69 67 68 83 96 109 118
## [82,] 60 58 59 60 60 67 81 97 111
## [83,] 52 53 55 58 60 60 66 89 108
## [,389] [,390] [,391] [,392] [,393] [,394] [,395] [,396] [,397]
## [1,] 322 342 357 368 374 371 362 357 357
## [2,] 320 341 356 369 377 376 370 367 365
## [3,] 311 332 351 368 379 385 380 373 368
## [4,] 296 315 343 371 387 399 395 381 370
## [5,] 286 305 338 375 402 416 411 390 370
## [6,] 269 286 323 363 393 411 398 385 363
## [7,] 255 271 294 329 357 370 364 350 337
## [8,] 237 251 268 293 315 325 314 306 296
## [9,] 216 229 241 256 269 274 273 267 256
## [10,] 199 206 216 227 239 239 232 228 225
## [11,] 186 190 196 202 203 194 200 197 199
## [12,] 182 182 182 182 182 182 184 183 182
## [13,] 182 182 182 182 182 182 182 182 187
## [14,] 182 182 182 182 182 182 182 182 189
## [15,] 250 213 192 182 182 182 182 182 192
## [16,] 281 258 243 223 182 182 182 182 182
## [17,] 304 280 268 255 247 213 182 182 182
## [18,] 304 294 284 276 269 256 243 182 182
## [19,] 313 308 299 295 295 280 265 252 213
## [20,] 328 324 322 309 310 304 289 281 262
## [21,] 346 344 343 340 336 324 314 308 294
## [22,] 365 365 365 365 365 349 339 327 315
## [23,] 364 365 369 375 377 372 359 347 334
## [24,] 365 365 373 386 398 400 390 365 353
## [25,] 365 365 377 394 414 426 426 394 365
## [26,] 347 365 383 406 426 425 426 427 411
## [27,] 324 348 374 398 411 426 426 430 434
## [28,] 304 328 362 383 397 411 426 436 459
## [29,] 298 304 338 365 379 396 412 426 487
## [30,] 285 298 318 341 357 374 393 415 436
## [31,] 270 282 298 319 334 350 365 385 405
## [32,] 256 268 280 296 312 327 339 352 375
## [33,] 243 253 259 267 278 304 309 304 304
## [34,] 215 226 230 233 235 240 274 259 279
## [35,] 182 182 191 202 211 223 231 240 243
## [36,] 160 162 178 182 196 210 222 233 243
## [37,] 130 131 150 169 182 194 207 220 232
## [38,] 121 121 121 143 162 182 192 205 218
## [39,] 130 121 121 121 132 152 172 188 200
## [40,] 161 140 121 121 121 121 142 164 182
## [41,] 191 172 142 121 121 121 121 140 160
## [42,] 222 199 172 142 121 121 121 121 141
## [43,] 243 224 198 172 152 130 121 121 126
## [44,] 263 243 219 195 182 155 121 121 121
## [45,] 294 263 236 209 192 182 151 130 121
## [46,] 304 278 250 219 192 182 163 153 126
## [47,] 304 282 252 223 182 175 170 166 150
## [48,] 299 277 252 231 186 182 181 189 179
## [49,] 278 260 245 222 212 203 209 209 201
## [50,] 268 243 244 238 232 234 235 235 222
## [51,] 276 263 243 243 243 260 263 252 243
## [52,] 294 294 286 335 292 292 294 279 262
## [53,] 304 335 365 355 365 335 324 304 279
## [54,] 335 375 397 411 389 371 365 330 290
## [55,] 406 405 426 426 426 393 365 345 293
## [56,] 437 441 435 446 426 411 384 365 298
## [57,] 470 480 477 487 470 426 400 365 331
## [58,] 487 484 487 487 463 454 426 392 356
## [59,] 485 486 487 487 472 451 426 409 390
## [60,] 487 486 487 487 487 469 447 426 426
## [61,] 469 468 481 487 487 480 465 458 455
## [62,] 426 435 458 467 474 481 480 480 484
## [63,] 398 408 434 448 460 472 486 487 486
## [64,] 365 365 398 426 441 456 473 487 487
## [65,] 341 349 362 381 416 434 456 470 483
## [66,] 318 331 352 365 392 426 442 457 476
## [67,] 304 315 345 365 385 426 435 457 487
## [68,] 265 297 323 348 365 396 426 435 438
## [69,] 243 281 304 337 365 381 390 398 405
## [70,] 243 274 304 325 342 357 368 366 374
## [71,] 243 272 304 314 327 337 342 343 349
## [72,] 243 267 289 304 310 316 319 318 326
## [73,] 243 261 278 289 304 304 304 304 304
## [74,] 243 254 262 268 271 273 282 294 304
## [75,] 243 243 243 243 243 243 260 282 304
## [76,] 192 184 198 219 231 243 243 256 279
## [77,] 178 182 192 192 212 225 235 241 243
## [78,] 173 182 182 182 196 216 226 238 243
## [79,] 160 173 180 182 189 205 220 237 247
## [80,] 150 169 179 182 196 209 220 239 257
## [81,] 139 168 182 191 200 211 224 243 254
## [82,] 132 166 182 191 199 207 216 235 249
## [83,] 134 176 181 185 189 193 197 203 213
## [,398] [,399] [,400] [,401] [,402] [,403] [,404] [,405] [,406]
## [1,] 355 356 360 368 376 379 387 397 406
## [2,] 362 362 366 372 378 385 392 400 409
## [3,] 362 360 364 369 377 383 392 402 412
## [4,] 358 348 349 360 369 373 387 405 415
## [5,] 352 335 321 339 354 355 373 392 408
## [6,] 340 319 306 304 310 323 350 370 380
## [7,] 316 297 288 282 290 299 317 341 353
## [8,] 283 272 268 266 269 275 286 304 315
## [9,] 256 251 252 252 254 256 268 279 288
## [10,] 231 236 241 243 244 245 254 259 264
## [11,] 211 225 236 240 242 242 245 248 250
## [12,] 194 223 235 239 241 242 243 243 243
## [13,] 203 223 235 239 242 242 243 243 243
## [14,] 200 222 238 243 243 243 243 248 243
## [15,] 212 239 242 261 274 279 289 291 270
## [16,] 209 231 243 283 304 304 308 313 304
## [17,] 199 228 243 304 301 313 324 334 324
## [18,] 205 225 235 243 304 321 339 359 349
## [19,] 216 227 234 241 274 324 358 363 364
## [20,] 238 233 235 239 243 304 365 365 365
## [21,] 263 241 240 241 243 273 297 350 365
## [22,] 294 270 243 243 264 272 290 314 365
## [23,] 317 308 292 281 282 288 294 302 351
## [24,] 337 326 316 304 304 304 304 316 339
## [25,] 348 338 331 328 325 324 324 333 349
## [26,] 370 358 356 356 355 355 355 357 360
## [27,] 415 396 396 396 396 396 396 396 402
## [28,] 462 457 441 438 438 441 441 441 441
## [29,] 485 487 487 472 474 487 487 487 487
## [30,] 469 473 474 475 483 486 486 487 480
## [31,] 426 441 449 455 471 487 487 471 459
## [32,] 382 408 416 423 441 474 481 456 434
## [33,] 344 365 388 406 426 441 452 441 426
## [34,] 307 340 357 376 396 426 434 437 426
## [35,] 290 316 334 353 365 405 427 428 410
## [36,] 271 304 321 343 365 386 415 398 385
## [37,] 253 279 295 317 349 371 374 375 348
## [38,] 236 258 266 284 304 304 304 304 304
## [39,] 214 231 238 254 268 273 278 278 269
## [40,] 190 201 214 232 243 243 252 252 243
## [41,] 177 182 190 213 220 228 233 228 214
## [42,] 165 179 182 200 203 207 206 196 182
## [43,] 157 182 186 189 190 189 188 183 183
## [44,] 137 158 182 182 182 182 181 180 181
## [45,] 121 140 154 165 172 175 177 179 181
## [46,] 121 121 129 141 157 166 173 179 181
## [47,] 121 121 121 121 148 159 170 180 182
## [48,] 170 148 137 145 150 159 171 180 182
## [49,] 189 182 168 168 165 167 171 178 182
## [50,] 210 197 187 182 179 176 176 179 182
## [51,] 228 213 196 182 182 182 181 181 181
## [52,] 246 234 207 190 182 182 182 182 182
## [53,] 252 243 221 207 202 191 182 182 182
## [54,] 247 241 230 222 222 218 196 189 184
## [55,] 265 243 241 240 243 243 226 209 193
## [56,] 276 261 243 243 261 259 243 224 203
## [57,] 297 282 282 283 292 293 260 243 224
## [58,] 333 304 304 304 302 296 275 259 243
## [59,] 381 372 350 330 316 299 281 273 264
## [60,] 426 403 383 365 344 314 294 289 287
## [61,] 444 432 416 395 374 345 318 303 319
## [62,] 471 450 435 426 400 373 365 365 365
## [63,] 487 465 447 432 420 402 390 385 377
## [64,] 487 471 459 448 437 426 413 404 395
## [65,] 480 476 472 462 453 446 432 421 411
## [66,] 487 487 487 477 470 468 455 443 426
## [67,] 487 487 487 487 481 484 471 464 445
## [68,] 441 462 468 476 480 487 487 487 477
## [69,] 414 426 426 447 461 487 487 487 449
## [70,] 378 379 400 413 420 449 472 465 443
## [71,] 352 359 365 382 389 418 440 446 438
## [72,] 333 341 350 357 361 386 416 431 434
## [73,] 315 325 332 336 341 358 385 411 426
## [74,] 304 309 315 317 318 332 365 399 426
## [75,] 304 304 304 304 304 321 365 395 426
## [76,] 259 272 291 302 304 340 369 390 414
## [77,] 247 243 283 304 332 363 374 379 386
## [78,] 243 270 284 304 330 355 365 365 365
## [79,] 264 280 304 302 323 335 344 348 355
## [80,] 267 282 304 304 313 318 326 332 340
## [81,] 259 271 283 294 294 301 310 318 326
## [82,] 242 255 267 271 273 279 289 304 313
## [83,] 204 230 249 250 251 252 255 261 286
## [,407] [,408] [,409] [,410] [,411] [,412] [,413] [,414] [,415]
## [1,] 418 419 431 434 432 426 420 414 407
## [2,] 419 425 433 439 437 432 428 422 416
## [3,] 421 426 433 436 434 431 427 422 417
## [4,] 421 424 425 426 426 423 420 417 414
## [5,] 413 413 413 416 415 410 410 411 411
## [6,] 389 391 393 393 396 396 401 404 408
## [7,] 358 362 367 369 374 379 388 392 398
## [8,] 326 332 338 341 353 361 371 375 382
## [9,] 297 303 307 312 323 338 351 354 363
## [10,] 273 277 279 282 293 306 319 331 344
## [11,] 255 257 257 258 264 282 294 308 326
## [12,] 243 243 243 243 243 265 296 304 304
## [13,] 243 243 243 243 258 282 304 311 323
## [14,] 243 243 243 250 269 297 307 319 331
## [15,] 253 243 243 249 276 300 316 331 347
## [16,] 283 263 243 264 271 297 320 339 365
## [17,] 311 294 283 281 289 297 309 331 349
## [18,] 334 319 304 298 297 300 304 321 344
## [19,] 357 342 327 312 303 302 304 310 338
## [20,] 365 365 350 334 313 304 304 304 324
## [21,] 365 367 367 357 344 318 309 304 316
## [22,] 365 372 377 381 369 349 334 333 334
## [23,] 365 380 386 394 381 365 350 349 350
## [24,] 365 390 405 418 401 383 372 362 363
## [25,] 365 396 426 425 420 402 393 386 374
## [26,] 377 400 426 444 438 420 418 406 400
## [27,] 402 413 426 467 465 460 446 426 426
## [28,] 441 446 475 484 487 487 487 487 472
## [29,] 487 487 487 487 487 487 487 487 487
## [30,] 477 474 467 465 467 480 487 487 487
## [31,] 448 443 442 442 443 450 462 487 487
## [32,] 424 418 415 411 413 416 421 442 468
## [33,] 409 393 380 365 374 385 398 411 426
## [34,] 398 380 365 338 355 365 381 389 392
## [35,] 375 348 317 300 291 298 335 335 335
## [36,] 365 304 295 275 252 266 270 274 291
## [37,] 318 299 276 258 224 226 232 239 255
## [38,] 291 271 257 235 192 182 200 215 224
## [39,] 265 261 255 248 198 186 183 190 202
## [40,] 243 243 243 243 227 182 182 183 182
## [41,] 198 198 198 198 201 187 183 182 182
## [42,] 187 183 182 182 182 184 183 182 182
## [43,] 182 182 182 182 182 182 183 182 182
## [44,] 181 182 182 182 182 182 182 200 208
## [45,] 181 182 182 182 182 213 219 219 226
## [46,] 182 186 191 211 233 242 246 248 252
## [47,] 191 198 213 236 242 247 252 261 278
## [48,] 196 209 221 239 248 252 259 274 297
## [49,] 194 206 216 229 243 243 243 262 274
## [50,] 190 199 206 219 230 236 242 243 243
## [51,] 182 189 194 207 222 232 243 243 243
## [52,] 182 182 182 193 210 223 234 243 243
## [53,] 182 182 182 182 196 213 229 243 243
## [54,] 182 182 182 182 182 199 221 243 243
## [55,] 182 182 182 182 182 182 206 224 243
## [56,] 182 182 182 182 182 182 194 211 227
## [57,] 207 193 186 182 182 182 182 190 205
## [58,] 228 218 206 188 182 182 182 182 182
## [59,] 252 237 225 206 189 182 182 182 182
## [60,] 281 262 243 225 210 203 190 182 182
## [61,] 311 294 273 245 235 223 212 202 189
## [62,] 342 322 304 277 253 243 231 226 212
## [63,] 370 355 334 305 281 270 261 253 235
## [64,] 385 375 365 335 304 304 304 304 279
## [65,] 401 390 380 363 340 336 324 316 304
## [66,] 416 406 395 381 365 365 355 352 347
## [67,] 426 416 406 391 384 381 381 377 369
## [68,] 442 430 421 407 404 404 403 393 380
## [69,] 444 434 428 423 426 426 426 411 388
## [70,] 435 432 429 427 426 426 426 414 389
## [71,] 434 431 429 427 427 426 414 398 378
## [72,] 433 432 429 427 427 426 406 387 365
## [73,] 428 429 429 427 427 426 407 386 365
## [74,] 426 426 427 427 427 426 411 390 365
## [75,] 426 426 426 426 426 426 426 402 385
## [76,] 426 426 426 426 426 426 426 414 397
## [77,] 404 426 426 426 426 426 426 426 419
## [78,] 386 398 421 426 426 426 426 426 426
## [79,] 361 373 396 419 426 426 426 426 426
## [80,] 347 356 373 396 411 426 426 426 426
## [81,] 331 341 356 373 388 406 418 423 426
## [82,] 315 326 343 359 365 390 400 408 412
## [83,] 298 310 331 352 365 377 386 393 398
## [,416] [,417] [,418] [,419] [,420] [,421] [,422] [,423] [,424]
## [1,] 403 397 388 378 368 355 345 333 325
## [2,] 410 404 392 380 371 362 352 342 330
## [3,] 412 406 392 380 371 362 354 344 331
## [4,] 411 405 390 377 369 362 355 342 326
## [5,] 410 407 393 378 371 365 358 347 334
## [6,] 412 415 410 396 380 372 364 354 343
## [7,] 412 414 418 416 398 382 371 362 352
## [8,] 393 405 410 401 390 380 373 368 361
## [9,] 375 385 396 392 382 377 374 371 367
## [10,] 357 368 380 380 376 376 376 373 370
## [11,] 341 353 367 371 372 376 380 377 378
## [12,] 338 351 360 365 367 381 391 399 391
## [13,] 336 348 359 365 377 397 419 424 417
## [14,] 341 354 362 383 396 414 426 426 424
## [15,] 359 367 382 404 419 424 424 425 426
## [16,] 363 379 405 426 423 425 424 425 426
## [17,] 365 392 421 424 425 425 425 425 426
## [18,] 365 395 426 426 426 425 426 426 426
## [19,] 365 389 421 426 426 426 426 426 427
## [20,] 365 377 415 426 426 426 427 427 428
## [21,] 341 365 411 426 426 426 427 428 429
## [22,] 349 365 409 426 426 427 428 430 432
## [23,] 353 365 406 426 426 428 430 433 435
## [24,] 362 362 382 426 426 432 439 445 450
## [25,] 365 364 380 411 426 445 461 473 487
## [26,] 391 385 397 412 426 454 480 485 479
## [27,] 426 426 421 420 426 458 469 487 458
## [28,] 458 453 445 444 451 461 457 446 435
## [29,] 487 480 483 487 487 487 458 426 427
## [30,] 487 487 496 517 499 487 481 451 424
## [31,] 487 487 492 494 491 493 487 452 422
## [32,] 472 484 487 489 488 480 466 453 433
## [33,] 426 451 465 466 465 462 455 448 432
## [34,] 413 426 444 446 451 449 447 441 430
## [35,] 376 382 408 420 432 435 435 433 423
## [36,] 304 325 365 387 408 426 428 426 405
## [37,] 257 287 321 350 375 382 405 394 386
## [38,] 235 254 285 304 327 352 365 365 365
## [39,] 214 232 254 274 294 315 330 334 330
## [40,] 195 213 231 243 263 284 304 304 304
## [41,] 182 195 213 229 240 253 256 271 271
## [42,] 182 182 194 218 231 238 242 243 243
## [43,] 190 196 199 212 227 237 241 243 254
## [44,] 214 236 243 232 232 243 243 265 275
## [45,] 231 248 252 243 243 260 280 280 298
## [46,] 257 277 280 281 292 290 300 304 322
## [47,] 290 304 304 304 309 304 304 317 334
## [48,] 303 315 334 340 341 350 350 353 352
## [49,] 304 331 365 365 365 362 365 366 365
## [50,] 258 313 355 365 365 365 365 368 370
## [51,] 270 287 304 304 345 365 365 371 378
## [52,] 267 283 291 297 302 321 350 372 385
## [53,] 262 275 283 288 293 299 304 350 376
## [54,] 256 267 277 282 288 293 298 320 365
## [55,] 249 258 269 274 279 284 289 298 320
## [56,] 243 252 260 265 271 275 279 287 297
## [57,] 223 245 252 257 263 266 268 275 286
## [58,] 205 228 243 249 254 256 258 263 275
## [59,] 186 205 220 234 246 247 247 251 264
## [60,] 182 182 197 205 217 222 223 237 252
## [61,] 182 182 182 182 191 192 192 198 229
## [62,] 191 182 182 182 182 182 182 182 182
## [63,] 222 196 182 182 182 182 182 182 182
## [64,] 250 243 219 213 195 182 182 182 182
## [65,] 280 263 243 243 220 200 182 182 182
## [66,] 321 311 291 284 257 233 208 182 182
## [67,] 365 342 320 307 304 273 243 188 182
## [68,] 368 355 332 312 305 274 231 183 183
## [69,] 368 339 318 304 275 243 211 182 182
## [70,] 355 326 304 285 267 243 198 182 182
## [71,] 352 317 304 280 260 243 186 183 183
## [72,] 338 304 285 266 249 233 190 183 183
## [73,] 336 304 274 243 246 225 207 182 182
## [74,] 340 304 280 254 243 238 223 211 198
## [75,] 353 304 292 276 279 260 243 230 218
## [76,] 374 337 304 289 303 295 275 243 231
## [77,] 396 378 371 335 349 347 331 296 278
## [78,] 419 408 402 399 396 386 371 365 365
## [79,] 426 426 427 427 427 417 413 411 411
## [80,] 426 426 428 430 431 434 439 446 446
## [81,] 426 426 429 434 437 446 460 477 477
## [82,] 423 426 432 439 445 454 477 484 487
## [83,] 402 409 420 431 433 446 470 487 487
## [,425] [,426] [,427] [,428] [,429] [,430] [,431] [,432] [,433]
## [1,] 313 302 295 288 281 273 259 249 237
## [2,] 317 304 298 295 290 279 266 253 242
## [3,] 317 304 299 298 295 281 266 253 244
## [4,] 314 309 305 306 304 296 279 260 251
## [5,] 323 317 316 316 313 308 297 280 262
## [6,] 334 329 327 327 323 316 308 298 285
## [7,] 345 342 340 338 332 323 314 306 299
## [8,] 356 353 351 348 339 328 317 309 305
## [9,] 364 362 360 357 346 332 319 310 306
## [10,] 367 365 365 362 349 331 318 310 306
## [11,] 369 366 365 360 348 331 317 308 304
## [12,] 370 365 365 365 346 327 306 304 299
## [13,] 395 372 365 365 350 330 311 304 290
## [14,] 418 389 375 365 356 336 311 292 283
## [15,] 423 402 386 373 365 337 307 295 284
## [16,] 420 400 390 376 365 338 314 304 295
## [17,] 415 398 385 369 360 345 334 322 314
## [18,] 419 399 385 365 358 353 351 347 338
## [19,] 424 410 397 388 373 364 367 365 359
## [20,] 427 426 414 409 395 384 371 367 365
## [21,] 429 427 426 426 418 395 376 367 365
## [22,] 431 429 427 426 405 395 371 365 337
## [23,] 434 429 426 412 397 378 361 338 324
## [24,] 446 427 418 401 381 365 348 326 304
## [25,] 487 426 408 390 365 367 347 325 304
## [26,] 453 426 414 398 385 371 356 334 321
## [27,] 440 436 426 410 397 384 369 348 332
## [28,] 432 430 427 423 411 397 376 361 343
## [29,] 423 426 426 427 426 410 388 365 356
## [30,] 413 403 403 418 426 422 400 379 369
## [31,] 398 380 365 387 409 426 413 388 379
## [32,] 395 365 368 366 379 426 406 393 384
## [33,] 400 382 365 365 365 382 390 394 395
## [34,] 405 383 365 365 365 365 382 400 408
## [35,] 401 383 365 365 364 365 386 403 414
## [36,] 390 379 365 364 364 365 391 409 417
## [37,] 378 369 363 362 363 365 416 426 424
## [38,] 365 342 349 354 359 365 426 426 426
## [39,] 316 314 317 335 351 375 410 411 394
## [40,] 300 301 303 304 331 359 381 380 377
## [41,] 284 295 301 304 310 354 366 370 370
## [42,] 273 290 300 304 327 352 367 369 368
## [43,] 274 294 304 319 331 356 370 370 369
## [44,] 298 312 327 338 346 360 374 374 371
## [45,] 318 334 350 365 365 377 391 382 373
## [46,] 338 357 366 380 394 421 426 406 386
## [47,] 349 365 374 391 413 426 426 426 406
## [48,] 355 359 365 398 426 425 426 426 421
## [49,] 361 362 365 399 426 426 426 426 426
## [50,] 368 365 399 416 422 425 426 426 414
## [51,] 381 401 426 422 425 425 405 389 393
## [52,] 394 406 426 426 425 402 375 357 350
## [53,] 388 400 410 426 426 380 345 324 304
## [54,] 377 389 398 411 426 379 324 304 311
## [55,] 350 371 374 389 385 374 304 306 305
## [56,] 304 327 352 365 371 368 336 304 304
## [57,] 293 301 315 336 357 366 345 315 304
## [58,] 282 290 298 304 331 365 365 334 304
## [59,] 272 280 288 296 311 357 365 358 333
## [60,] 260 269 278 288 300 331 365 365 353
## [61,] 248 257 267 277 292 304 333 357 365
## [62,] 218 243 254 265 284 304 316 341 356
## [63,] 190 217 236 249 272 298 304 334 353
## [64,] 182 199 219 234 261 304 319 332 354
## [65,] 182 191 211 229 258 304 325 343 365
## [66,] 182 182 205 225 259 304 327 348 365
## [67,] 182 182 205 224 259 304 334 356 359
## [68,] 182 198 212 229 262 304 355 365 364
## [69,] 182 201 220 243 284 318 365 365 331
## [70,] 182 195 213 234 260 290 298 316 314
## [71,] 182 182 196 212 234 259 266 270 267
## [72,] 182 182 182 190 197 213 228 228 233
## [73,] 182 182 182 182 182 182 182 182 200
## [74,] 192 186 182 182 182 182 182 182 182
## [75,] 215 205 200 198 197 192 182 182 224
## [76,] 229 218 215 213 212 210 210 219 227
## [77,] 264 237 236 236 234 237 238 243 238
## [78,] 365 304 304 263 258 274 267 256 247
## [79,] 406 383 372 335 335 314 293 276 257
## [80,] 435 426 405 391 376 365 331 304 272
## [81,] 462 447 433 418 397 376 365 322 297
## [82,] 487 472 456 441 417 389 365 350 330
## [83,] 487 487 479 464 441 416 396 375 356
## [,434] [,435] [,436] [,437] [,438] [,439] [,440] [,441] [,442]
## [1,] 224 215 211 216 218 230 235 250 249
## [2,] 234 227 222 223 227 234 239 252 251
## [3,] 237 230 227 227 231 236 241 253 253
## [4,] 243 239 236 236 238 240 243 247 260
## [5,] 254 253 250 250 252 253 254 258 271
## [6,] 273 270 270 271 269 272 271 275 289
## [7,] 291 292 289 291 292 292 295 297 309
## [8,] 302 302 302 303 305 307 309 319 331
## [9,] 304 304 304 305 310 316 323 338 351
## [10,] 304 303 302 304 309 317 331 348 352
## [11,] 302 299 295 296 297 306 319 336 349
## [12,] 294 289 284 284 284 293 304 304 325
## [13,] 279 265 254 253 253 261 257 278 295
## [14,] 267 243 247 244 243 243 245 243 264
## [15,] 275 264 251 244 243 243 243 243 243
## [16,] 291 280 271 268 258 243 243 243 243
## [17,] 309 298 296 295 287 265 251 243 243
## [18,] 331 324 320 314 306 289 274 259 246
## [19,] 356 345 343 327 313 305 297 269 254
## [20,] 365 365 365 337 317 307 304 275 255
## [21,] 351 345 332 331 315 307 304 276 254
## [22,] 324 314 300 295 294 289 272 253 243
## [23,] 304 293 277 266 264 259 252 250 245
## [24,] 293 276 252 244 242 246 245 244 245
## [25,] 294 278 263 244 237 227 213 213 213
## [26,] 309 297 276 255 237 216 193 182 182
## [27,] 317 304 292 267 243 231 215 205 197
## [28,] 327 311 300 279 260 249 236 224 219
## [29,] 341 324 304 291 274 264 253 243 238
## [30,] 359 343 326 305 289 279 268 257 248
## [31,] 372 365 344 323 304 294 282 268 257
## [32,] 377 365 355 335 316 304 291 275 261
## [33,] 395 391 374 352 332 318 304 290 276
## [34,] 417 426 405 375 350 335 320 304 292
## [35,] 426 425 426 406 375 358 342 327 312
## [36,] 426 426 426 426 406 385 365 350 335
## [37,] 416 419 426 426 426 416 380 368 358
## [38,] 402 392 401 426 426 381 380 371 368
## [39,] 375 366 363 379 377 370 369 367 366
## [40,] 365 358 351 314 335 345 365 348 353
## [41,] 366 359 341 312 304 304 304 316 317
## [42,] 367 366 365 339 310 304 304 304 304
## [43,] 367 366 366 357 321 309 305 304 304
## [44,] 367 365 365 358 322 312 307 305 304
## [45,] 365 366 361 342 314 304 304 304 296
## [46,] 372 365 355 325 306 306 302 296 287
## [47,] 388 375 365 336 304 305 299 290 277
## [48,] 401 385 369 341 326 311 300 288 272
## [49,] 407 390 371 355 342 328 315 304 287
## [50,] 399 386 373 366 359 343 326 313 304
## [51,] 382 378 373 368 365 356 335 318 304
## [52,] 354 361 368 367 366 353 336 319 304
## [53,] 322 337 358 365 329 327 321 315 310
## [54,] 304 320 333 324 304 304 314 311 308
## [55,] 305 304 308 300 296 295 296 298 296
## [56,] 304 303 298 288 281 278 274 278 276
## [57,] 304 302 291 277 267 259 251 260 261
## [58,] 304 299 284 267 253 243 246 243 248
## [59,] 313 301 284 263 249 244 243 244 243
## [60,] 335 317 294 270 259 252 243 243 243
## [61,] 357 332 298 278 268 259 252 246 243
## [62,] 365 365 301 286 276 267 259 252 245
## [63,] 361 356 318 294 284 272 263 255 246
## [64,] 365 352 315 296 287 277 267 258 248
## [65,] 361 365 317 296 287 278 269 259 249
## [66,] 365 365 319 295 286 275 265 254 245
## [67,] 365 337 316 297 287 273 259 243 244
## [68,] 331 314 311 306 298 278 261 247 243
## [69,] 304 306 305 305 304 285 267 252 243
## [70,] 291 284 292 299 304 274 260 247 243
## [71,] 261 259 267 273 260 243 243 245 243
## [72,] 239 243 249 247 244 245 243 243 243
## [73,] 227 239 242 242 243 243 243 243 243
## [74,] 223 237 241 242 242 242 242 243 243
## [75,] 226 237 240 242 242 242 242 243 243
## [76,] 234 237 240 242 242 242 242 243 243
## [77,] 236 238 240 242 243 243 243 243 243
## [78,] 243 241 241 242 243 243 243 243 243
## [79,] 243 243 242 242 243 243 247 246 243
## [80,] 243 243 243 243 243 243 253 259 249
## [81,] 276 249 243 243 243 243 265 279 289
## [82,] 304 274 243 243 243 243 284 304 311
## [83,] 336 304 274 253 243 260 304 320 339
## [,443] [,444] [,445] [,446] [,447] [,448] [,449] [,450] [,451]
## [1,] 267 285 295 311 324 317 314 305 284
## [2,] 268 285 297 314 326 318 315 306 284
## [3,] 272 287 305 318 326 316 314 300 273
## [4,] 274 292 305 317 319 314 309 297 280
## [5,] 287 305 319 331 327 316 312 299 283
## [6,] 301 319 337 345 343 334 323 309 295
## [7,] 322 340 350 357 355 349 339 325 313
## [8,] 344 352 359 362 362 360 353 341 327
## [9,] 354 359 361 362 363 364 363 353 336
## [10,] 356 358 352 356 360 363 365 357 339
## [11,] 345 346 335 338 351 362 365 361 341
## [12,] 330 333 313 304 324 365 365 365 351
## [13,] 309 308 307 302 304 332 355 365 339
## [14,] 277 285 292 296 304 316 331 365 322
## [15,] 251 263 267 271 278 287 289 289 279
## [16,] 243 243 243 243 243 243 243 243 213
## [17,] 243 240 229 217 208 198 198 192 189
## [18,] 243 236 214 196 182 186 182 180 181
## [19,] 246 240 214 182 184 183 181 178 176
## [20,] 245 244 243 182 182 182 178 175 169
## [21,] 243 243 213 207 182 182 177 173 162
## [22,] 245 243 213 196 190 184 179 177 155
## [23,] 243 243 214 194 185 184 183 182 167
## [24,] 243 229 209 188 180 176 175 172 153
## [25,] 206 192 182 178 169 156 153 148 142
## [26,] 182 183 174 165 156 130 129 126 128
## [27,] 190 182 174 169 162 151 121 121 121
## [28,] 213 206 199 198 193 186 183 167 167
## [29,] 235 234 243 243 225 196 185 182 182
## [30,] 244 243 242 243 213 189 184 181 176
## [31,] 246 243 216 182 198 182 182 178 168
## [32,] 243 243 222 204 182 182 182 182 182
## [33,] 267 252 237 222 217 214 213 213 213
## [34,] 283 268 253 243 243 243 243 243 243
## [35,] 299 284 268 262 256 251 247 243 243
## [36,] 320 299 284 275 267 258 250 243 243
## [37,] 340 314 299 289 279 268 258 245 243
## [38,] 357 334 317 304 293 281 270 250 243
## [39,] 366 357 332 318 308 298 286 264 248
## [40,] 365 365 341 326 316 309 304 277 259
## [41,] 329 346 340 329 319 311 304 285 264
## [42,] 304 304 314 319 316 311 304 289 272
## [43,] 302 302 304 308 311 309 304 294 281
## [44,] 295 294 297 302 305 305 305 302 292
## [45,] 282 285 288 293 299 304 304 305 304
## [46,] 270 275 277 283 291 300 304 305 313
## [47,] 254 257 259 268 277 287 297 307 322
## [48,] 247 243 243 250 262 274 286 304 332
## [49,] 254 243 243 243 243 257 271 295 324
## [50,] 269 243 243 243 243 243 258 281 296
## [51,] 275 243 243 243 243 243 243 258 274
## [52,] 277 243 243 243 243 243 243 243 258
## [53,] 286 243 243 243 243 243 243 243 243
## [54,] 287 256 243 243 243 243 243 243 243
## [55,] 272 256 250 245 243 243 243 243 243
## [56,] 268 256 249 243 244 243 243 243 243
## [57,] 258 253 248 243 243 243 243 243 243
## [58,] 249 248 246 243 243 243 243 243 243
## [59,] 243 243 243 243 243 243 243 243 243
## [60,] 243 243 243 243 243 243 243 243 243
## [61,] 243 243 243 243 243 243 243 243 243
## [62,] 243 243 243 243 243 243 243 243 243
## [63,] 243 243 243 243 243 243 243 243 243
## [64,] 243 243 243 243 243 243 243 243 243
## [65,] 243 243 243 243 243 243 243 243 243
## [66,] 244 244 243 243 243 243 243 243 243
## [67,] 244 243 244 243 243 243 243 243 243
## [68,] 243 243 243 243 243 243 243 243 243
## [69,] 243 243 243 243 243 243 243 243 243
## [70,] 243 243 243 243 243 243 243 243 243
## [71,] 243 243 243 243 243 243 243 243 243
## [72,] 243 243 243 243 243 243 244 252 260
## [73,] 243 243 243 243 243 243 246 262 274
## [74,] 243 243 243 243 243 243 252 263 279
## [75,] 243 243 246 243 243 243 243 250 264
## [76,] 243 253 258 256 243 243 243 243 243
## [77,] 243 264 281 291 291 261 243 243 243
## [78,] 243 277 304 308 309 294 263 243 243
## [79,] 260 294 310 323 327 317 294 274 264
## [80,] 284 304 325 340 349 344 323 304 304
## [81,] 311 324 341 359 367 370 355 340 324
## [82,] 331 344 365 370 380 388 380 365 350
## [83,] 347 353 365 381 396 412 414 394 379
## [,452] [,453] [,454] [,455] [,456] [,457] [,458] [,459] [,460]
## [1,] 265 253 243 233 222 211 216 217 220
## [2,] 265 253 242 234 227 223 223 227 229
## [3,] 261 250 242 235 229 226 227 231 233
## [4,] 261 250 243 237 232 230 232 236 239
## [5,] 264 252 246 241 236 234 235 239 241
## [6,] 283 269 255 250 242 239 238 240 242
## [7,] 304 295 279 262 250 244 242 241 242
## [8,] 313 307 297 283 266 254 246 243 242
## [9,] 322 311 300 290 275 259 249 245 243
## [10,] 321 312 303 291 277 261 251 246 243
## [11,] 325 313 306 298 285 267 256 246 243
## [12,] 315 308 306 305 304 289 273 243 243
## [13,] 309 306 305 304 304 304 299 279 272
## [14,] 304 304 304 304 304 304 304 304 290
## [15,] 260 259 259 279 292 299 304 304 304
## [16,] 213 225 235 243 260 273 284 304 284
## [17,] 182 199 213 224 236 247 242 253 263
## [18,] 181 182 194 202 210 232 225 234 243
## [19,] 172 178 182 185 187 185 194 212 233
## [20,] 154 161 170 182 182 178 182 191 216
## [21,] 139 148 155 158 160 170 177 182 202
## [22,] 128 128 130 131 139 151 165 176 187
## [23,] 135 121 121 121 121 128 146 158 166
## [24,] 135 128 123 121 119 119 128 140 134
## [25,] 133 127 123 121 117 113 113 121 93
## [26,] 124 122 121 117 114 103 90 69 63
## [27,] 121 121 121 121 121 103 80 60 60
## [28,] 172 180 182 167 137 119 90 78 66
## [29,] 182 182 182 161 153 127 101 90 81
## [30,] 171 154 148 153 141 127 106 99 92
## [31,] 159 121 121 128 127 121 116 112 110
## [32,] 182 161 135 121 121 121 121 121 121
## [33,] 206 188 172 163 155 162 183 187 186
## [34,] 243 205 191 182 182 188 195 201 204
## [35,] 218 209 199 194 194 198 209 217 226
## [36,] 222 212 205 201 202 206 219 227 235
## [37,] 227 219 212 208 210 213 226 233 239
## [38,] 234 227 219 216 217 220 231 237 241
## [39,] 241 235 226 223 225 227 236 240 242
## [40,] 249 243 234 231 231 235 239 242 243
## [41,] 253 243 238 236 236 238 241 242 243
## [42,] 261 249 243 242 243 241 243 243 243
## [43,] 273 266 263 261 252 243 244 243 243
## [44,] 288 284 283 278 266 256 250 244 243
## [45,] 304 304 304 292 278 264 255 243 243
## [46,] 320 325 321 310 294 279 268 258 249
## [47,] 337 348 346 333 309 294 283 270 259
## [48,] 358 365 365 357 318 306 299 283 267
## [49,] 365 365 365 331 319 309 306 304 285
## [50,] 318 343 339 329 317 309 306 305 293
## [51,] 289 304 315 316 313 307 304 288 276
## [52,] 274 289 304 304 304 304 284 276 265
## [53,] 251 266 270 269 263 255 256 251 249
## [54,] 243 243 243 243 245 243 243 243 243
## [55,] 243 243 243 243 243 243 243 243 243
## [56,] 243 243 243 243 243 243 243 243 243
## [57,] 243 243 243 243 243 243 243 243 243
## [58,] 243 243 243 243 243 243 243 243 243
## [59,] 243 243 243 243 243 265 277 289 294
## [60,] 243 243 247 246 257 284 304 300 308
## [61,] 243 243 253 257 279 299 302 304 313
## [62,] 243 254 261 269 288 299 301 304 320
## [63,] 247 258 268 284 296 301 304 316 325
## [64,] 250 264 279 300 304 304 304 318 332
## [65,] 243 263 276 296 304 304 304 317 328
## [66,] 246 254 261 279 299 304 304 312 318
## [67,] 243 243 243 261 288 298 304 304 304
## [68,] 243 243 243 246 282 294 299 302 303
## [69,] 243 243 243 258 282 293 297 300 302
## [70,] 243 250 256 268 285 293 298 300 302
## [71,] 256 265 271 281 292 298 304 304 304
## [72,] 271 282 288 296 305 309 314 314 321
## [73,] 291 304 304 305 312 320 327 331 339
## [74,] 304 301 304 307 317 327 336 346 356
## [75,] 279 297 304 309 325 335 347 360 364
## [76,] 258 281 297 310 328 339 350 357 365
## [77,] 243 274 300 311 327 338 348 357 362
## [78,] 243 275 304 316 330 341 351 359 365
## [79,] 275 284 299 316 338 351 361 369 379
## [80,] 295 293 298 316 346 365 371 381 392
## [81,] 312 302 302 326 351 365 382 393 402
## [82,] 342 339 337 355 365 407 394 402 408
## [83,] 374 369 356 369 398 426 417 412 413
## [,461] [,462] [,463] [,464] [,465] [,466] [,467] [,468] [,469]
## [1,] 216 202 187 180 155 136 126 134 130
## [2,] 226 207 193 187 159 141 130 134 139
## [3,] 231 225 204 194 183 155 136 139 141
## [4,] 240 236 224 206 190 176 161 148 142
## [5,] 242 242 237 228 212 198 188 178 165
## [6,] 242 243 243 241 230 221 206 192 179
## [7,] 242 243 243 243 241 234 217 201 190
## [8,] 243 243 243 243 243 239 219 200 189
## [9,] 243 243 243 243 243 240 214 200 188
## [10,] 243 243 243 243 243 243 233 207 188
## [11,] 244 244 244 243 243 243 240 216 197
## [12,] 249 246 245 243 243 243 243 214 207
## [13,] 260 252 247 243 243 243 242 216 204
## [14,] 275 262 252 243 243 243 242 218 208
## [15,] 285 270 258 247 243 243 241 221 214
## [16,] 281 271 262 248 243 243 239 225 220
## [17,] 263 261 259 255 243 243 236 221 222
## [18,] 247 250 259 265 253 243 223 182 202
## [19,] 243 245 264 278 263 250 243 182 182
## [20,] 232 243 281 300 278 256 243 182 182
## [21,] 222 243 304 304 304 257 243 182 183
## [22,] 204 223 243 294 274 233 195 188 183
## [23,] 182 202 221 243 223 182 188 181 186
## [24,] 157 171 192 194 176 174 175 177 179
## [25,] 134 132 143 153 153 160 160 165 170
## [26,] 91 80 101 116 133 136 134 135 139
## [27,] 62 60 60 91 121 121 92 91 111
## [28,] 60 60 60 60 71 63 61 60 76
## [29,] 73 60 60 60 60 60 61 60 60
## [30,] 85 84 66 60 60 60 60 60 60
## [31,] 107 112 108 93 79 72 65 60 60
## [32,] 121 138 137 121 106 103 89 84 81
## [33,] 170 170 171 149 135 126 113 112 112
## [34,] 208 213 204 182 166 151 145 138 137
## [35,] 237 242 238 225 197 175 173 162 160
## [36,] 238 243 243 243 243 212 194 182 182
## [37,] 241 242 243 243 237 233 228 229 228
## [38,] 242 243 243 243 243 243 243 242 243
## [39,] 243 243 243 243 243 243 243 243 243
## [40,] 243 243 243 243 243 243 243 243 243
## [41,] 243 243 243 243 243 243 243 243 243
## [42,] 243 243 243 243 243 243 243 243 243
## [43,] 243 243 243 243 243 243 243 243 243
## [44,] 243 243 243 243 243 243 243 243 243
## [45,] 243 243 243 243 243 243 243 243 243
## [46,] 244 243 243 243 243 243 243 243 243
## [47,] 249 243 243 243 243 243 243 243 243
## [48,] 246 245 243 243 243 243 243 243 243
## [49,] 259 243 244 243 243 243 243 243 243
## [50,] 267 243 243 244 243 243 243 243 243
## [51,] 259 243 243 243 243 243 243 243 243
## [52,] 254 243 244 243 243 243 243 243 243
## [53,] 244 245 244 243 243 243 243 243 243
## [54,] 243 244 244 243 243 243 243 243 243
## [55,] 243 243 243 243 243 243 243 243 243
## [56,] 243 243 243 243 243 243 243 243 243
## [57,] 243 243 243 243 243 243 243 243 243
## [58,] 274 250 243 243 243 243 243 243 243
## [59,] 302 285 268 256 254 253 253 249 243
## [60,] 310 306 304 287 285 284 284 279 249
## [61,] 320 327 316 304 304 304 304 304 254
## [62,] 332 349 352 329 304 304 304 288 265
## [63,] 339 360 361 365 335 304 304 295 282
## [64,] 346 365 365 364 365 350 323 315 303
## [65,] 341 358 365 365 365 365 365 340 314
## [66,] 329 344 361 365 365 365 365 360 331
## [67,] 314 329 349 359 365 365 365 365 365
## [68,] 304 314 342 353 359 364 365 365 365
## [69,] 303 304 338 349 356 362 364 365 365
## [70,] 304 318 337 347 355 362 365 365 365
## [71,] 319 333 341 350 357 365 364 365 369
## [72,] 330 344 350 354 359 362 365 365 373
## [73,] 348 360 360 361 363 364 364 365 380
## [74,] 365 366 365 364 364 365 365 375 391
## [75,] 367 373 377 374 375 378 385 396 405
## [76,] 371 387 395 398 405 409 410 420 426
## [77,] 375 400 418 421 426 427 423 431 437
## [78,] 386 407 416 426 431 431 436 443 450
## [79,] 394 411 419 426 436 440 445 454 462
## [80,] 409 426 426 436 443 449 455 463 473
## [81,] 417 425 434 443 451 459 464 471 479
## [82,] 417 426 441 452 462 472 473 477 483
## [83,] 419 426 447 463 475 487 480 482 487
## [,470] [,471] [,472] [,473] [,474] [,475] [,476] [,477] [,478]
## [1,] 123 114 103 94 88 76 67 62 58
## [2,] 131 120 109 102 95 81 71 64 59
## [3,] 132 120 112 109 100 92 77 69 61
## [4,] 136 129 135 122 117 104 95 80 69
## [5,] 164 163 164 147 135 122 113 99 80
## [6,] 174 177 179 172 162 144 128 115 100
## [7,] 183 181 180 179 166 152 134 122 110
## [8,] 183 177 172 168 153 142 124 112 111
## [9,] 177 165 158 147 140 130 102 87 87
## [10,] 170 147 137 137 132 117 98 79 71
## [11,] 180 166 151 138 133 127 112 94 84
## [12,] 195 181 182 161 149 138 129 121 105
## [13,] 198 191 188 185 174 162 151 138 126
## [14,] 203 201 200 196 190 182 170 154 138
## [15,] 211 210 212 210 205 198 188 168 148
## [16,] 219 220 224 224 222 218 210 179 161
## [17,] 224 234 243 243 243 243 243 212 177
## [18,] 212 225 243 243 243 243 243 243 201
## [19,] 196 212 229 243 241 243 243 243 208
## [20,] 185 191 206 219 232 238 243 233 192
## [21,] 182 182 182 208 225 233 243 196 179
## [22,] 182 182 197 212 230 225 210 192 167
## [23,] 183 197 213 233 243 213 198 186 159
## [24,] 189 210 236 241 243 192 182 170 152
## [25,] 187 203 215 243 182 185 170 160 147
## [26,] 175 184 186 175 172 162 157 149 139
## [27,] 131 150 158 155 151 148 144 137 128
## [28,] 112 104 136 136 137 135 133 127 121
## [29,] 60 60 121 121 125 126 125 123 102
## [30,] 60 60 60 60 121 121 121 109 85
## [31,] 60 60 60 60 60 76 76 72 63
## [32,] 75 60 60 60 60 60 60 60 60
## [33,] 104 93 79 72 66 60 60 60 60
## [34,] 126 121 105 103 97 94 81 81 81
## [35,] 154 145 134 130 128 124 112 111 111
## [36,] 182 182 165 155 147 138 130 122 121
## [37,] 228 223 196 176 164 153 140 122 121
## [38,] 243 243 243 200 182 170 158 147 134
## [39,] 243 242 215 208 193 182 174 164 158
## [40,] 242 238 218 204 197 190 184 182 182
## [41,] 242 235 220 209 200 192 185 182 182
## [42,] 239 230 223 213 204 194 183 182 182
## [43,] 235 228 221 214 206 196 182 182 182
## [44,] 236 230 225 220 216 206 192 182 182
## [45,] 239 235 232 232 231 219 203 191 182
## [46,] 243 242 242 243 243 231 214 205 198
## [47,] 243 243 243 243 243 243 225 220 214
## [48,] 243 243 243 243 243 240 237 237 236
## [49,] 243 243 243 243 243 243 243 242 243
## [50,] 243 243 243 243 243 243 243 243 243
## [51,] 243 243 243 243 243 243 243 243 243
## [52,] 243 243 243 243 243 243 243 243 243
## [53,] 243 243 243 243 243 243 243 243 243
## [54,] 243 243 243 243 243 243 243 243 243
## [55,] 243 243 243 243 243 243 243 243 243
## [56,] 243 243 243 243 243 243 243 243 243
## [57,] 243 243 243 243 243 243 243 243 243
## [58,] 243 243 243 243 243 243 243 243 243
## [59,] 243 243 243 243 243 243 243 243 243
## [60,] 243 243 243 243 243 243 243 243 243
## [61,] 243 243 243 243 243 243 243 243 243
## [62,] 243 243 243 243 243 243 243 243 243
## [63,] 260 243 243 243 243 243 243 243 243
## [64,] 279 258 243 243 243 243 243 243 243
## [65,] 304 271 243 243 243 243 243 243 243
## [66,] 304 287 270 257 256 249 243 243 243
## [67,] 336 304 289 282 272 258 243 243 243
## [68,] 365 340 315 299 288 273 259 249 243
## [69,] 366 365 340 322 304 289 276 268 270
## [70,] 368 367 359 343 328 306 294 290 290
## [71,] 374 374 371 365 350 333 304 304 304
## [72,] 379 381 378 373 365 355 339 335 325
## [73,] 389 392 392 391 390 379 373 369 356
## [74,] 399 404 408 411 411 404 397 391 377
## [75,] 411 416 422 430 433 425 419 417 402
## [76,] 426 426 438 445 452 456 448 435 426
## [77,] 440 446 454 463 477 485 478 463 444
## [78,] 454 462 470 478 487 488 487 487 462
## [79,] 469 475 483 489 493 492 491 487 474
## [80,] 480 487 489 495 501 500 501 496 487
## [81,] 487 486 494 501 509 514 517 515 500
## [82,] 487 487 499 508 520 530 535 538 529
## [83,] 490 487 503 513 527 540 548 548 548
## [,479] [,480] [,481] [,482] [,483] [,484] [,485] [,486] [,487]
## [1,] 56 59 67 76 84 90 92 89 84
## [2,] 55 58 65 72 79 85 87 84 79
## [3,] 56 59 63 70 77 82 84 79 72
## [4,] 61 60 62 66 70 75 77 74 68
## [5,] 70 64 63 63 65 68 70 67 64
## [6,] 84 72 67 64 63 63 64 63 62
## [7,] 98 83 73 66 62 61 61 61 60
## [8,] 103 87 76 68 63 61 60 60 60
## [9,] 88 77 70 65 62 60 60 60 60
## [10,] 72 72 69 66 63 61 60 60 60
## [11,] 81 85 78 72 67 62 60 60 60
## [12,] 103 101 101 88 75 63 60 60 60
## [13,] 123 122 121 113 89 66 60 60 60
## [14,] 130 123 121 103 91 60 61 60 60
## [15,] 135 121 121 110 95 75 60 60 60
## [16,] 147 135 121 121 110 89 69 60 60
## [17,] 164 152 141 130 123 99 74 60 60
## [18,] 182 170 153 139 129 113 87 67 60
## [19,] 188 182 158 143 132 123 107 79 68
## [20,] 179 164 154 144 134 124 108 81 69
## [21,] 166 156 145 137 131 122 96 75 68
## [22,] 153 139 128 129 124 111 71 63 61
## [23,] 141 121 125 121 108 81 60 60 61
## [24,] 138 130 123 122 82 62 62 61 60
## [25,] 138 128 121 100 73 60 61 60 60
## [26,] 131 124 112 94 70 62 61 60 60
## [27,] 121 108 94 78 62 60 62 60 60
## [28,] 108 96 84 71 60 61 60 60 60
## [29,] 90 78 66 62 62 60 60 60 60
## [30,] 72 60 63 60 61 61 60 60 60
## [31,] 61 62 61 61 61 61 60 60 60
## [32,] 62 61 60 64 62 61 60 60 60
## [33,] 60 61 68 67 66 63 60 64 69
## [34,] 81 82 82 79 73 69 71 73 74
## [35,] 111 103 94 89 83 78 79 82 80
## [36,] 121 121 103 98 91 86 88 90 87
## [37,] 121 112 109 105 99 95 96 98 96
## [38,] 121 121 116 112 107 104 105 106 106
## [39,] 146 130 121 117 112 110 110 111 114
## [40,] 174 156 134 121 119 118 118 119 121
## [41,] 182 182 145 121 121 121 121 121 123
## [42,] 182 163 148 121 121 121 121 121 127
## [43,] 182 167 154 142 121 121 121 121 132
## [44,] 182 178 172 175 143 128 121 133 138
## [45,] 182 182 182 182 182 161 152 150 146
## [46,] 192 182 182 182 182 182 176 163 154
## [47,] 209 196 182 182 182 182 182 182 170
## [48,] 234 219 205 186 182 182 182 182 177
## [49,] 243 243 228 203 182 182 182 182 172
## [50,] 243 243 243 216 207 192 182 182 171
## [51,] 243 243 239 235 234 219 204 189 178
## [52,] 243 243 243 243 243 243 228 210 195
## [53,] 243 243 243 243 243 243 243 227 212
## [54,] 243 243 243 243 243 243 243 243 227
## [55,] 243 243 243 243 243 243 243 243 240
## [56,] 243 243 243 243 243 243 243 243 243
## [57,] 243 243 243 243 243 243 243 243 243
## [58,] 243 243 243 243 243 243 243 243 243
## [59,] 243 243 243 243 243 243 243 243 224
## [60,] 243 243 243 243 243 243 243 243 225
## [61,] 243 243 243 243 243 243 243 243 229
## [62,] 243 243 243 243 243 243 243 243 235
## [63,] 243 243 243 243 243 243 243 243 243
## [64,] 243 243 243 243 243 243 243 243 243
## [65,] 243 243 243 243 243 243 243 243 250
## [66,] 243 243 247 247 247 247 248 253 257
## [67,] 243 243 261 261 258 257 259 262 265
## [68,] 252 264 277 272 268 266 268 270 273
## [69,] 273 282 293 282 277 276 277 278 281
## [70,] 293 299 303 288 283 282 283 284 285
## [71,] 304 304 305 296 292 291 291 292 293
## [72,] 321 311 305 304 301 299 299 298 298
## [73,] 340 327 309 304 304 303 302 302 302
## [74,] 365 346 315 304 304 304 304 304 304
## [75,] 387 373 336 304 304 304 309 310 307
## [76,] 411 395 372 304 304 328 321 323 315
## [77,] 431 418 389 371 335 355 354 353 336
## [78,] 442 426 404 387 383 379 380 373 355
## [79,] 455 437 417 404 401 400 403 399 387
## [80,] 473 465 436 422 420 420 426 426 426
## [81,] 487 487 460 426 426 426 487 457 441
## [82,] 534 513 496 475 472 487 490 495 470
## [83,] 551 548 524 503 487 512 528 548 497
## [,488] [,489] [,490] [,491] [,492] [,493] [,494] [,495] [,496]
## [1,] 80 80 88 99 112 126 141 156 169
## [2,] 75 77 89 103 115 127 141 158 175
## [3,] 67 75 92 110 117 128 144 168 189
## [4,] 65 73 87 101 113 125 142 160 176
## [5,] 62 69 85 100 113 127 141 155 168
## [6,] 61 70 85 100 113 124 136 149 162
## [7,] 61 71 87 101 112 119 127 137 149
## [8,] 61 71 87 100 109 111 113 122 133
## [9,] 60 60 74 93 108 101 98 104 116
## [10,] 60 60 66 79 83 73 76 85 100
## [11,] 60 60 61 66 73 67 65 71 82
## [12,] 60 60 60 60 60 61 60 60 74
## [13,] 60 60 60 60 60 60 60 60 64
## [14,] 60 60 60 60 60 60 60 60 60
## [15,] 60 60 60 60 60 60 60 60 60
## [16,] 60 60 60 60 60 60 60 60 60
## [17,] 60 60 60 60 60 60 60 60 60
## [18,] 60 60 60 60 60 60 60 60 60
## [19,] 60 60 60 60 60 60 60 60 60
## [20,] 64 61 60 60 60 60 60 60 60
## [21,] 63 60 60 60 60 60 60 60 60
## [22,] 60 60 60 60 60 60 60 60 60
## [23,] 60 60 60 60 60 60 60 60 60
## [24,] 60 60 60 60 60 60 60 63 75
## [25,] 60 60 60 60 60 60 60 69 97
## [26,] 60 60 60 60 60 60 60 68 102
## [27,] 60 60 60 60 60 60 60 69 95
## [28,] 60 60 60 60 60 60 60 60 90
## [29,] 60 60 60 60 60 60 60 60 83
## [30,] 60 60 60 60 60 60 60 60 81
## [31,] 62 62 61 60 60 60 60 63 89
## [32,] 64 64 62 61 60 60 60 60 101
## [33,] 67 66 64 62 60 60 60 60 67
## [34,] 72 70 67 64 62 60 60 60 60
## [35,] 77 73 69 67 64 60 60 60 67
## [36,] 84 80 75 72 68 60 60 60 80
## [37,] 93 89 86 84 82 77 74 83 94
## [38,] 104 101 99 98 99 97 101 107 114
## [39,] 112 110 109 110 111 112 113 121 152
## [40,] 120 118 118 119 121 121 131 171 182
## [41,] 122 121 121 121 121 121 121 148 182
## [42,] 126 123 121 121 121 121 121 131 170
## [43,] 131 126 122 121 121 121 126 141 163
## [44,] 135 128 122 122 121 123 131 141 161
## [45,] 140 129 122 121 121 125 132 140 158
## [46,] 144 129 122 121 121 124 126 126 165
## [47,] 153 134 121 122 121 121 121 131 182
## [48,] 162 140 124 121 121 121 121 121 182
## [49,] 160 143 126 121 121 121 121 132 153
## [50,] 160 139 121 123 121 121 121 126 144
## [51,] 165 144 122 121 122 121 121 121 127
## [52,] 182 180 182 152 142 131 121 121 121
## [53,] 198 186 183 182 173 158 136 123 121
## [54,] 211 193 183 182 182 182 147 129 121
## [55,] 221 193 182 180 178 162 148 131 122
## [56,] 216 182 178 175 167 156 143 126 122
## [57,] 217 182 174 168 159 149 127 122 121
## [58,] 197 182 176 170 164 161 150 121 121
## [59,] 197 182 182 180 178 182 182 182 182
## [60,] 205 188 182 182 190 197 201 205 196
## [61,] 214 203 201 204 209 217 220 227 217
## [62,] 226 219 221 225 229 236 239 248 237
## [63,] 239 237 237 243 243 252 263 268 255
## [64,] 245 247 249 255 265 273 284 295 280
## [65,] 252 256 263 272 280 290 304 302 304
## [66,] 259 267 274 282 290 300 304 304 298
## [67,] 267 275 283 290 297 300 304 304 293
## [68,] 275 282 289 295 300 302 303 304 294
## [69,] 282 288 294 299 302 303 304 304 297
## [70,] 287 292 296 300 303 304 304 304 300
## [71,] 294 296 299 303 305 304 304 304 304
## [72,] 299 301 304 303 313 324 308 304 304
## [73,] 302 302 304 304 329 354 328 304 304
## [74,] 303 303 304 304 338 365 355 325 304
## [75,] 304 304 304 331 355 370 378 355 335
## [76,] 304 304 304 335 365 389 418 393 365
## [77,] 312 304 304 336 365 396 427 429 411
## [78,] 332 304 331 341 365 397 434 448 437
## [79,] 372 356 353 359 365 402 443 477 462
## [80,] 404 399 387 377 365 426 469 483 487
## [81,] 426 426 409 401 410 426 473 494 491
## [82,] 453 444 438 436 440 451 477 506 512
## [83,] 474 470 468 467 471 476 502 523 536
## [,497] [,498] [,499] [,500] [,501] [,502] [,503] [,504] [,505]
## [1,] 178 183 180 172 160 146 133 119 106
## [2,] 186 189 184 175 162 146 128 111 98
## [3,] 200 194 187 174 156 139 115 98 87
## [4,] 188 189 177 163 144 123 103 89 80
## [5,] 179 183 179 166 148 129 108 90 79
## [6,] 172 177 179 173 161 142 120 99 84
## [7,] 159 167 172 171 163 151 132 112 94
## [8,] 144 156 160 161 155 146 130 111 93
## [9,] 128 139 146 147 142 137 125 100 80
## [10,] 113 124 126 126 122 121 116 98 79
## [11,] 99 110 109 105 101 103 106 94 81
## [12,] 84 96 92 85 77 79 93 90 80
## [13,] 70 75 73 66 62 60 68 69 67
## [14,] 61 62 60 62 60 61 60 61 60
## [15,] 60 60 60 60 60 60 60 60 60
## [16,] 60 60 60 60 60 60 60 60 60
## [17,] 60 60 60 60 60 60 60 60 60
## [18,] 60 60 60 60 60 60 60 60 60
## [19,] 60 60 60 60 60 60 60 60 60
## [20,] 60 60 60 60 60 60 60 60 60
## [21,] 60 60 60 60 60 60 60 60 60
## [22,] 60 60 60 60 60 60 60 60 60
## [23,] 72 68 60 60 60 60 60 60 60
## [24,] 91 94 81 77 70 74 69 64 60
## [25,] 121 121 105 119 97 117 94 81 69
## [26,] 120 128 142 166 116 148 109 94 81
## [27,] 121 142 182 176 182 172 139 114 97
## [28,] 110 121 148 182 180 182 149 126 121
## [29,] 105 114 121 149 182 165 145 125 116
## [30,] 103 113 118 121 136 154 131 124 108
## [31,] 114 118 120 140 142 147 140 121 112
## [32,] 117 127 145 162 182 182 155 133 121
## [33,] 111 127 144 167 180 181 177 147 128
## [34,] 93 110 121 121 152 182 182 164 142
## [35,] 97 110 118 121 121 182 182 171 156
## [36,] 103 114 121 121 121 182 187 182 170
## [37,] 109 121 182 182 182 206 205 197 182
## [38,] 152 192 220 228 231 238 235 231 217
## [39,] 192 243 233 249 251 252 263 255 243
## [40,] 208 235 243 261 277 292 294 291 271
## [41,] 203 223 243 273 304 302 304 304 304
## [42,] 188 218 243 267 294 304 304 304 304
## [43,] 182 210 243 255 279 304 304 304 304
## [44,] 182 199 224 243 261 290 304 296 282
## [45,] 178 182 221 236 243 276 280 277 265
## [46,] 190 212 233 243 251 265 264 256 249
## [47,] 202 228 243 249 252 273 252 243 230
## [48,] 202 243 241 243 245 245 243 228 218
## [49,] 172 196 224 228 228 220 209 207 199
## [50,] 153 166 182 182 182 182 182 188 182
## [51,] 130 145 151 154 152 155 168 171 162
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## [4,] 24 24 24 24 25 26 28 30 31
## [5,] 23 23 24 24 25 26 28 30 31
## [6,] 23 23 24 24 25 26 29 31 32
## [7,] 22 23 24 24 25 26 29 31 32
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## [15,] 20 21 23 25 28 30 33 35 37
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## [17,] 19 21 23 26 29 31 34 36 38
## [18,] 19 21 23 26 30 32 35 36 39
## [19,] 19 21 24 27 31 33 35 37 40
## [20,] 19 22 24 28 32 34 36 39 41
## [21,] 19 22 24 28 32 34 37 39 42
## [22,] 19 22 24 28 32 34 37 39 42
## [23,] 19 22 24 28 32 35 37 40 42
## [24,] 20 22 25 29 33 35 38 41 43
## [25,] 20 23 26 29 33 36 39 41 44
## [26,] 20 23 25 29 33 36 38 41 43
## [27,] 20 22 25 29 32 35 38 40 42
## [28,] 19 21 24 28 31 33 36 39 41
## [29,] 18 21 23 26 30 32 35 37 39
## [30,] 18 20 23 26 29 31 33 36 38
## [31,] 17 20 23 26 28 30 32 35 37
## [32,] 17 19 22 25 27 29 31 33 35
## [33,] 16 18 21 24 26 28 30 32 34
## [34,] 16 18 21 23 25 27 29 31 33
## [35,] 16 17 20 23 25 27 29 31 33
## [36,] 16 17 20 23 25 27 29 31 32
## [37,] 16 17 20 23 25 27 29 31 32
## [38,] 16 17 20 23 25 27 29 31 33
## [39,] 16 17 20 23 25 27 29 31 33
## [40,] 16 17 20 23 25 27 29 31 33
## [41,] 16 17 20 23 25 27 29 31 33
## [42,] 16 17 20 23 25 27 29 31 33
## [43,] 16 17 20 23 25 27 29 31 33
## [44,] 16 18 21 23 25 27 29 30 33
## [45,] 16 18 21 23 25 27 29 30 33
## [46,] 16 18 21 23 25 27 28 30 33
## [47,] 16 18 21 23 25 27 28 30 32
## [48,] 16 18 21 23 25 27 28 30 32
## [49,] 16 18 21 23 25 27 28 30 32
## [50,] 16 18 21 23 25 27 28 29 31
## [51,] 16 18 21 23 25 27 28 29 31
## [52,] 16 18 21 23 25 27 28 29 31
## [53,] 16 18 21 23 25 27 28 30 31
## [54,] 16 18 21 23 25 27 28 30 31
## [55,] 16 18 21 23 25 27 28 30 31
## [56,] 16 18 21 23 25 27 28 30 31
## [57,] 16 18 21 23 25 27 28 30 31
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## [59,] 17 19 21 23 25 27 28 29 31
## [60,] 17 19 21 23 25 26 28 29 31
## [61,] 17 19 21 23 25 26 28 29 31
## [62,] 17 19 21 23 24 26 27 29 31
## [63,] 17 19 21 23 24 26 27 29 31
## [64,] 17 19 21 23 24 26 27 29 30
## [65,] 17 19 21 23 24 26 27 29 30
## [66,] 17 19 21 23 24 26 27 28 30
## [67,] 17 19 21 22 24 25 27 28 30
## [68,] 17 19 21 22 24 25 27 28 29
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## [70,] 16 19 21 22 23 25 26 27 28
## [71,] 16 19 21 22 23 24 26 27 28
## [72,] 16 19 20 22 23 24 25 26 27
## [73,] 17 19 20 21 22 23 25 26 27
## [74,] 17 18 20 21 22 23 24 26 26
## [75,] 17 18 20 21 22 22 24 25 26
## [76,] 17 18 19 20 21 22 23 24 25
## [77,] 16 18 19 20 21 21 22 24 24
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## [81,] 16 16 17 18 18 19 20 21 21
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## [83,] 15 16 16 17 17 18 19 19 20
## [,785] [,786] [,787] [,788] [,789] [,790] [,791] [,792] [,793]
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## [2,] 25 25 26 27 28 29 30 30 30
## [3,] 30 30 31 32 34 35 36 36 36
## [4,] 32 32 32 35 37 38 39 39 39
## [5,] 32 32 33 36 38 39 39 39 40
## [6,] 32 33 34 37 39 40 40 41 41
## [7,] 33 34 35 38 40 41 42 42 43
## [8,] 34 35 36 39 41 42 43 44 44
## [9,] 34 35 37 41 42 43 45 45 46
## [10,] 35 37 39 42 44 45 46 47 47
## [11,] 36 38 40 43 45 46 47 48 49
## [12,] 37 39 41 44 46 47 49 50 50
## [13,] 37 40 42 45 47 49 50 51 52
## [14,] 38 41 43 46 48 50 51 53 53
## [15,] 39 42 44 47 49 51 53 54 54
## [16,] 39 42 45 48 50 52 54 55 56
## [17,] 40 43 46 49 51 54 55 57 57
## [18,] 41 44 48 50 53 55 57 59 58
## [19,] 42 46 49 52 54 57 59 60 60
## [20,] 44 47 51 54 57 60 60 60 60
## [21,] 44 48 52 55 57 59 60 60 60
## [22,] 45 48 52 55 57 59 60 60 60
## [23,] 45 49 53 56 58 60 62 62 60
## [24,] 48 52 54 58 60 64 68 71 61
## [25,] 48 52 55 59 60 62 66 63 61
## [26,] 47 51 54 56 58 60 61 61 60
## [27,] 46 50 53 55 57 58 59 60 60
## [28,] 44 48 50 53 55 57 58 60 60
## [29,] 43 46 48 50 53 55 57 60 60
## [30,] 41 44 47 49 51 53 55 57 60
## [31,] 40 43 45 47 49 51 53 55 58
## [32,] 38 41 43 45 47 49 52 54 56
## [33,] 37 40 42 44 46 47 50 53 55
## [34,] 36 39 41 43 45 46 49 52 53
## [35,] 35 38 40 42 44 46 48 51 53
## [36,] 35 38 40 42 44 46 48 51 52
## [37,] 35 38 40 42 43 45 48 50 52
## [38,] 36 38 40 42 43 45 47 49 51
## [39,] 36 38 40 41 43 45 47 49 50
## [40,] 36 38 39 41 43 44 46 48 49
## [41,] 36 38 39 41 42 44 46 47 49
## [42,] 36 38 39 41 42 43 45 46 47
## [43,] 36 37 39 40 41 42 44 46 46
## [44,] 35 37 38 39 41 42 43 45 46
## [45,] 35 37 38 39 40 41 42 44 44
## [46,] 35 36 37 38 39 40 42 42 43
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## [48,] 34 35 36 37 37 39 40 41 42
## [49,] 33 34 35 36 37 38 40 41 42
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## [51,] 32 33 35 36 37 38 40 41 42
## [52,] 32 33 35 36 37 38 40 41 42
## [53,] 32 34 35 36 37 39 40 42 42
## [54,] 32 34 35 36 37 39 40 42 43
## [55,] 32 34 35 36 37 39 40 42 43
## [56,] 32 34 35 36 37 39 40 42 42
## [57,] 32 33 35 36 37 39 40 41 42
## [58,] 32 33 35 36 37 39 40 41 42
## [59,] 32 33 35 35 37 38 40 41 42
## [60,] 32 33 34 35 37 39 40 41 42
## [61,] 32 33 34 35 37 38 40 40 41
## [62,] 32 33 34 35 37 38 39 40 41
## [63,] 32 33 34 35 36 38 39 40 40
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## [66,] 31 32 33 34 35 36 37 38 39
## [67,] 30 31 32 33 35 36 37 38 39
## [68,] 30 31 32 33 34 35 36 37 38
## [69,] 30 31 32 32 34 35 36 37 37
## [70,] 29 30 31 32 33 34 35 36 37
## [71,] 29 30 31 32 33 34 35 35 36
## [72,] 28 29 30 31 32 33 34 34 35
## [73,] 28 28 29 30 31 32 33 34 35
## [74,] 27 28 29 30 31 32 32 33 34
## [75,] 26 27 28 29 30 31 31 32 33
## [76,] 26 26 27 28 29 30 31 31 32
## [77,] 25 26 26 28 28 29 30 30 31
## [78,] 24 25 26 27 28 28 29 30 31
## [79,] 24 24 25 26 27 28 28 29 30
## [80,] 23 24 24 25 26 27 27 28 29
## [81,] 22 23 24 24 25 26 26 27 28
## [82,] 21 22 23 24 24 25 25 26 27
## [83,] 21 21 22 23 24 24 25 25 26
## [,794] [,795] [,796] [,797] [,798] [,799] [,800] [,801] [,802]
## [1,] 22 22 22 22 22 23 24 24 24
## [2,] 30 30 30 30 30 31 32 33 33
## [3,] 36 36 36 36 36 38 39 40 40
## [4,] 39 39 39 39 39 41 43 44 44
## [5,] 40 40 40 40 41 43 45 45 46
## [6,] 41 41 41 41 42 44 46 46 46
## [7,] 43 43 43 43 44 46 47 47 47
## [8,] 44 44 44 44 45 47 48 48 48
## [9,] 46 46 46 46 46 48 49 49 49
## [10,] 47 47 47 47 47 49 50 50 50
## [11,] 49 49 49 49 49 50 51 51 51
## [12,] 50 50 50 50 50 52 52 52 52
## [13,] 51 51 51 51 51 53 53 53 53
## [14,] 52 52 52 52 52 53 53 54 54
## [15,] 54 54 54 54 54 54 54 55 55
## [16,] 55 55 55 55 55 55 56 56 56
## [17,] 56 57 57 57 57 57 57 57 57
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## [19,] 59 60 59 59 59 59 59 59 59
## [20,] 60 60 60 60 60 60 60 60 59
## [21,] 60 60 60 60 60 60 60 60 60
## [22,] 60 60 60 60 60 60 60 60 60
## [23,] 60 60 60 60 60 60 60 60 60
## [24,] 60 60 60 60 60 60 60 60 60
## [25,] 60 60 60 60 60 60 60 60 60
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## [29,] 60 60 60 60 60 60 60 60 60
## [30,] 60 60 60 60 60 60 60 60 60
## [31,] 59 60 60 60 60 60 60 60 60
## [32,] 58 58 59 60 60 60 60 60 60
## [33,] 56 58 59 60 60 60 60 60 60
## [34,] 55 56 58 59 60 60 60 60 60
## [35,] 54 56 57 58 59 59 60 60 60
## [36,] 54 55 56 57 58 59 59 60 60
## [37,] 53 54 55 56 57 58 59 60 60
## [38,] 52 53 54 55 56 57 58 59 59
## [39,] 51 53 53 54 55 56 57 58 58
## [40,] 50 51 53 54 55 56 56 57 57
## [41,] 49 50 51 53 54 55 55 56 56
## [42,] 49 49 50 52 53 53 54 55 56
## [43,] 47 48 49 51 52 53 53 54 55
## [44,] 46 47 48 49 51 52 53 53 54
## [45,] 45 46 47 48 50 51 52 53 53
## [46,] 44 45 46 48 49 50 51 52 52
## [47,] 44 45 46 47 48 49 50 51 52
## [48,] 43 44 45 46 48 49 49 50 51
## [49,] 43 44 45 46 47 49 49 51 52
## [50,] 43 44 45 46 48 49 50 51 52
## [51,] 43 44 45 47 48 49 50 52 53
## [52,] 43 44 45 47 49 50 51 52 53
## [53,] 44 45 46 48 49 50 51 53 53
## [54,] 44 45 47 48 49 50 51 53 54
## [55,] 44 45 46 48 49 50 51 52 53
## [56,] 44 45 46 48 49 50 51 52 53
## [57,] 43 44 46 48 48 49 50 51 52
## [58,] 43 44 46 47 48 49 49 50 51
## [59,] 43 44 45 46 47 48 49 49 50
## [60,] 42 43 44 46 46 47 48 49 49
## [61,] 42 42 43 45 45 46 47 48 48
## [62,] 41 42 43 44 45 46 46 47 48
## [63,] 41 41 42 44 44 45 46 46 48
## [64,] 40 41 42 43 44 45 45 46 47
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## [67,] 39 40 41 42 43 44 44 45 46
## [68,] 39 40 41 42 42 43 44 45 46
## [69,] 38 39 40 41 42 42 43 44 45
## [70,] 37 39 40 40 41 42 43 44 45
## [71,] 37 38 39 40 41 42 42 43 44
## [72,] 36 37 39 39 40 41 42 43 44
## [73,] 35 37 38 39 40 41 42 42 44
## [74,] 35 36 37 38 39 40 41 42 43
## [75,] 34 35 37 38 39 39 40 41 42
## [76,] 33 34 36 37 38 39 39 41 42
## [77,] 32 34 35 36 37 38 39 40 41
## [78,] 32 33 35 35 36 37 38 40 41
## [79,] 31 32 34 35 35 36 37 39 40
## [80,] 30 31 33 34 35 35 36 38 39
## [81,] 29 30 32 33 34 35 35 37 38
## [82,] 29 30 31 32 33 34 35 36 37
## [83,] 28 29 30 31 32 33 34 35 37
## [,803] [,804] [,805] [,806] [,807] [,808] [,809] [,810] [,811]
## [1,] 25 25 25 25 26 27 28 29 30
## [2,] 34 34 34 34 35 36 37 38 39
## [3,] 41 41 41 41 42 43 44 45 46
## [4,] 45 45 45 45 45 47 48 49 50
## [5,] 46 46 46 46 46 49 50 50 51
## [6,] 46 46 46 47 47 49 51 51 51
## [7,] 47 47 47 48 48 50 51 52 52
## [8,] 48 48 48 48 49 51 52 52 52
## [9,] 49 49 49 49 50 52 52 53 53
## [10,] 50 50 50 50 51 52 53 53 53
## [11,] 51 51 51 51 52 53 53 53 54
## [12,] 52 52 52 53 53 53 53 54 54
## [13,] 53 53 53 54 54 54 54 55 55
## [14,] 54 54 54 54 55 55 55 56 56
## [15,] 55 55 55 55 56 56 56 57 57
## [16,] 56 56 56 57 57 57 58 58 58
## [17,] 57 57 58 58 58 58 58 59 59
## [18,] 58 58 58 58 59 59 59 59 60
## [19,] 59 59 59 59 59 59 59 59 60
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## [21,] 60 60 60 60 60 60 60 60 60
## [22,] 60 60 60 60 60 60 60 60 60
## [23,] 60 60 60 60 60 60 60 60 60
## [24,] 60 60 60 60 60 60 60 60 60
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## [29,] 60 60 60 60 60 60 60 60 60
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## [33,] 60 60 60 60 60 60 60 60 60
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## [35,] 60 60 60 60 60 60 60 60 60
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## [45,] 54 55 56 56 57 57 58 59 59
## [46,] 53 55 56 56 57 57 58 59 59
## [47,] 53 54 55 56 56 57 58 59 60
## [48,] 53 54 55 56 57 58 59 60 63
## [49,] 53 55 56 57 58 59 60 64 69
## [50,] 54 56 57 58 60 61 62 70 78
## [51,] 54 56 57 59 60 63 67 78 88
## [52,] 55 57 58 60 60 65 72 85 98
## [53,] 55 57 59 60 60 68 75 88 103
## [54,] 55 57 58 59 60 63 71 86 98
## [55,] 55 56 57 58 59 60 65 78 83
## [56,] 54 56 56 57 58 59 60 64 66
## [57,] 53 55 56 56 57 58 59 60 60
## [58,] 53 54 54 55 56 57 58 59 59
## [59,] 51 53 53 54 55 56 57 58 58
## [60,] 50 52 52 53 54 55 56 57 57
## [61,] 50 51 51 52 53 54 55 56 57
## [62,] 49 50 51 52 52 53 54 55 56
## [63,] 49 49 50 51 52 52 54 55 56
## [64,] 48 49 50 51 51 52 53 55 56
## [65,] 48 49 50 51 51 52 53 55 56
## [66,] 48 49 49 50 51 52 53 54 55
## [67,] 47 48 49 50 51 51 53 54 55
## [68,] 47 48 48 49 50 51 52 53 54
## [69,] 46 47 48 49 49 51 52 53 54
## [70,] 46 47 48 48 49 50 51 52 53
## [71,] 45 46 47 48 49 50 51 52 53
## [72,] 45 46 47 48 49 50 51 52 53
## [73,] 45 46 47 48 49 50 51 52 53
## [74,] 44 45 46 47 48 49 51 52 53
## [75,] 44 45 46 46 47 49 50 51 52
## [76,] 43 44 45 46 47 48 50 51 52
## [77,] 42 43 44 45 46 48 49 50 51
## [78,] 42 43 44 45 46 47 48 49 50
## [79,] 41 42 43 44 45 46 47 48 49
## [80,] 40 41 42 43 44 45 46 47 48
## [81,] 39 40 41 42 43 44 46 47 48
## [82,] 38 39 40 41 42 44 45 46 47
## [83,] 38 39 40 41 42 43 45 46 47
## [,812] [,813] [,814] [,815] [,816] [,817] [,818] [,819] [,820]
## [1,] 31 32 32 33 33 34 35 36 37
## [2,] 39 40 40 41 41 42 42 43 43
## [3,] 46 46 47 47 47 48 48 48 48
## [4,] 50 49 50 50 50 51 51 51 50
## [5,] 51 50 51 51 51 51 52 52 51
## [6,] 51 50 51 52 52 52 52 53 52
## [7,] 52 51 52 53 53 53 53 53 53
## [8,] 52 52 53 53 54 54 54 54 54
## [9,] 53 53 54 54 54 55 55 55 56
## [10,] 54 54 55 55 55 56 56 56 57
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## [12,] 55 55 56 56 57 57 58 59 60
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## [14,] 56 57 58 58 58 59 59 60 60
## [15,] 58 58 59 59 59 60 60 60 60
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## [17,] 60 60 60 60 60 60 60 60 60
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## [23,] 60 60 60 60 60 60 60 60 60
## [24,] 60 60 60 60 60 60 60 60 60
## [25,] 60 60 60 60 60 60 60 60 60
## [26,] 60 60 60 60 60 60 60 60 60
## [27,] 60 60 60 60 60 60 60 60 60
## [28,] 60 60 60 60 60 60 60 60 60
## [29,] 60 60 60 60 60 60 60 60 60
## [30,] 60 60 60 60 60 60 60 60 60
## [31,] 60 60 60 60 60 60 60 60 60
## [32,] 60 60 60 60 60 60 60 60 60
## [33,] 60 60 60 60 60 60 60 60 60
## [34,] 60 60 60 60 60 60 60 60 60
## [35,] 60 60 60 60 60 60 60 60 60
## [36,] 60 60 60 60 60 60 60 60 60
## [37,] 60 60 60 60 60 60 60 60 60
## [38,] 60 60 60 60 60 60 60 60 60
## [39,] 60 60 60 60 60 60 60 60 60
## [40,] 60 60 60 60 60 60 60 60 60
## [41,] 60 60 60 60 60 60 60 60 60
## [42,] 60 60 60 60 60 60 60 60 60
## [43,] 60 60 60 60 60 60 60 60 60
## [44,] 60 60 60 60 60 60 60 60 60
## [45,] 60 60 60 60 60 60 60 60 60
## [46,] 60 60 60 60 60 60 60 60 60
## [47,] 60 60 60 60 60 60 60 60 60
## [48,] 64 64 65 67 72 68 63 60 66
## [49,] 73 76 79 83 85 83 78 80 81
## [50,] 84 89 94 97 98 98 95 97 102
## [51,] 96 103 110 111 113 113 113 114 121
## [52,] 108 117 120 121 121 121 120 121 120
## [53,] 121 120 121 121 121 121 121 121 121
## [54,] 107 121 121 121 121 121 121 121 121
## [55,] 89 88 102 113 121 121 121 121 121
## [56,] 66 60 76 84 109 121 121 121 121
## [57,] 60 61 60 60 68 100 101 110 121
## [58,] 59 59 60 60 60 60 60 60 93
## [59,] 58 59 59 59 60 60 60 60 60
## [60,] 58 58 59 59 60 60 60 60 60
## [61,] 57 58 59 59 60 60 60 60 60
## [62,] 57 58 59 59 60 60 60 60 60
## [63,] 56 57 58 59 60 60 60 60 60
## [64,] 56 57 58 59 60 60 60 60 60
## [65,] 56 57 58 60 60 60 60 60 60
## [66,] 56 57 58 59 60 60 60 60 60
## [67,] 56 56 57 58 60 60 60 60 60
## [68,] 55 56 57 58 59 60 60 60 60
## [69,] 54 55 56 58 59 60 60 60 60
## [70,] 54 55 56 57 58 59 60 60 60
## [71,] 54 55 56 57 58 59 60 60 60
## [72,] 54 55 56 57 59 60 60 60 60
## [73,] 54 55 56 58 60 60 60 60 60
## [74,] 54 55 56 57 59 60 60 60 60
## [75,] 53 54 55 57 58 59 60 60 60
## [76,] 53 53 55 56 58 58 59 60 60
## [77,] 52 53 54 56 57 58 59 60 60
## [78,] 51 52 53 55 56 57 58 59 60
## [79,] 50 51 53 54 55 56 57 58 59
## [80,] 49 50 52 53 54 55 56 57 58
## [81,] 49 50 51 53 54 55 56 57 58
## [82,] 48 49 51 52 53 54 55 56 57
## [83,] 48 49 50 52 53 54 55 56 57
## [,821] [,822] [,823] [,824] [,825] [,826] [,827] [,828] [,829]
## [1,] 38 39 40 42 45 49 52 56 58
## [2,] 44 45 46 48 50 52 55 58 60
## [3,] 48 49 50 52 54 56 58 60 62
## [4,] 50 51 51 53 55 57 59 61 62
## [5,] 52 52 52 55 56 57 60 61 62
## [6,] 53 53 53 56 57 58 60 61 61
## [7,] 54 54 54 56 57 58 60 61 61
## [8,] 55 55 55 57 58 58 60 61 60
## [9,] 56 56 57 57 58 59 60 60 60
## [10,] 58 57 58 58 59 60 60 60 60
## [11,] 59 59 59 59 60 60 60 60 60
## [12,] 60 60 60 60 60 60 60 60 60
## [13,] 60 60 60 60 60 60 60 60 60
## [14,] 60 60 60 60 60 60 60 60 60
## [15,] 60 60 60 60 60 60 60 60 60
## [16,] 60 60 60 60 60 60 60 60 60
## [17,] 60 60 60 60 60 60 60 60 60
## [18,] 60 60 60 60 60 60 60 60 60
## [19,] 60 60 60 60 60 60 60 60 60
## [20,] 60 60 60 60 60 60 60 60 60
## [21,] 60 60 60 60 60 60 60 60 60
## [22,] 60 60 60 60 60 60 60 60 60
## [23,] 60 60 60 60 60 60 60 60 60
## [24,] 60 60 60 60 60 60 60 60 60
## [25,] 60 60 60 60 60 60 60 60 60
## [26,] 60 60 60 60 60 60 60 60 60
## [27,] 60 60 60 60 60 60 60 60 60
## [28,] 60 60 60 60 60 60 60 60 60
## [29,] 60 60 60 60 60 60 60 60 60
## [30,] 60 60 60 60 60 60 60 60 60
## [31,] 60 60 60 60 60 60 60 60 60
## [32,] 60 60 60 60 60 60 60 60 60
## [33,] 60 60 60 60 60 60 60 60 60
## [34,] 60 60 60 60 60 60 60 60 60
## [35,] 60 60 60 60 60 60 60 60 60
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## [37,] 60 60 60 60 60 60 60 60 60
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## [40,] 60 60 60 60 60 60 60 60 60
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## [43,] 60 60 60 60 60 60 60 60 60
## [44,] 60 60 60 60 60 60 60 60 60
## [45,] 60 60 60 60 60 60 60 60 60
## [46,] 60 60 60 60 60 60 60 60 66
## [47,] 60 60 60 60 64 60 71 77 78
## [48,] 69 69 68 78 78 84 88 94 90
## [49,] 88 86 88 93 96 101 108 110 107
## [50,] 105 104 105 108 112 117 129 131 127
## [51,] 121 121 121 118 121 157 158 161 147
## [52,] 121 121 140 121 182 182 182 182 172
## [53,] 121 121 148 175 175 180 182 182 182
## [54,] 121 121 144 162 171 182 182 182 182
## [55,] 121 121 136 151 160 169 178 182 182
## [56,] 121 121 126 138 147 156 164 167 176
## [57,] 121 118 119 126 134 143 149 151 163
## [58,] 121 113 107 114 121 130 135 133 151
## [59,] 76 88 92 101 111 120 123 121 139
## [60,] 60 60 77 89 103 121 115 119 128
## [61,] 60 60 60 68 83 89 101 109 121
## [62,] 60 60 60 60 60 71 81 92 110
## [63,] 60 60 60 60 60 60 71 83 105
## [64,] 60 61 61 60 60 60 60 73 109
## [65,] 60 63 64 63 60 60 60 60 89
## [66,] 60 64 67 68 66 63 60 60 60
## [67,] 60 67 72 74 74 73 73 71 60
## [68,] 60 69 77 81 84 86 89 93 91
## [69,] 60 73 83 89 95 101 106 117 110
## [70,] 70 77 88 95 103 111 118 120 121
## [71,] 73 85 92 100 109 121 120 121 122
## [72,] 72 83 91 99 107 114 121 121 122
## [73,] 70 81 89 96 104 111 117 121 124
## [74,] 69 80 87 95 102 109 115 121 125
## [75,] 66 78 85 92 99 107 114 121 126
## [76,] 67 76 83 90 97 105 112 120 129
## [77,] 65 75 82 90 98 106 114 121 128
## [78,] 62 72 80 89 97 106 117 120 121
## [79,] 60 68 78 88 98 108 120 121 121
## [80,] 60 60 74 86 96 108 121 121 121
## [81,] 60 60 70 81 91 101 114 121 121
## [82,] 59 60 67 75 84 93 108 121 121
## [83,] 59 60 63 69 77 87 101 114 121
## [,830] [,831] [,832] [,833] [,834] [,835] [,836] [,837] [,838]
## [1,] 60 61 62 63 66 68 70 72 72
## [2,] 62 63 63 65 68 72 75 77 77
## [3,] 64 65 64 66 70 74 77 79 79
## [4,] 64 65 64 65 68 72 75 77 78
## [5,] 64 64 63 63 65 68 71 73 73
## [6,] 63 62 62 62 63 64 66 67 68
## [7,] 61 61 61 61 61 61 62 63 63
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## [11,] 60 60 60 60 60 60 60 60 60
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## [13,] 60 60 60 60 60 60 60 60 60
## [14,] 60 60 60 60 60 60 60 60 60
## [15,] 60 60 60 60 60 60 60 60 61
## [16,] 60 60 60 60 60 60 60 60 61
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## [18,] 60 60 60 60 60 60 60 61 62
## [19,] 60 60 60 60 60 60 61 61 64
## [20,] 60 60 60 60 60 60 61 62 64
## [21,] 60 60 60 60 60 60 61 62 65
## [22,] 60 60 60 60 60 60 61 63 66
## [23,] 60 60 60 60 60 60 61 64 68
## [24,] 60 60 60 60 60 60 61 64 69
## [25,] 60 60 60 60 60 60 62 64 69
## [26,] 60 60 60 60 60 60 62 64 67
## [27,] 60 60 60 60 60 60 61 63 65
## [28,] 60 60 60 60 60 60 60 60 61
## [29,] 60 60 60 60 60 60 60 60 60
## [30,] 60 60 60 60 60 60 60 60 60
## [31,] 60 60 60 60 60 60 60 60 60
## [32,] 60 60 60 60 60 60 60 60 60
## [33,] 60 60 60 60 60 60 60 60 60
## [34,] 60 60 60 60 60 60 60 60 60
## [35,] 60 60 60 60 60 60 60 60 60
## [36,] 60 60 60 60 60 60 60 60 60
## [37,] 60 60 60 60 60 60 60 60 60
## [38,] 60 60 60 60 60 60 60 60 60
## [39,] 60 60 60 60 60 60 60 60 60
## [40,] 60 60 60 60 60 60 60 60 60
## [41,] 60 60 60 60 60 60 60 60 60
## [42,] 60 60 60 60 60 60 60 60 60
## [43,] 60 60 60 60 60 60 60 60 60
## [44,] 60 60 60 60 60 60 60 60 60
## [45,] 61 60 60 60 60 60 60 60 60
## [46,] 64 62 60 60 60 60 60 61 60
## [47,] 72 65 60 60 60 60 60 64 63
## [48,] 82 73 67 60 60 60 60 69 70
## [49,] 95 85 78 71 60 60 60 77 79
## [50,] 111 99 94 88 82 73 78 88 86
## [51,] 121 112 110 107 99 90 93 98 96
## [52,] 138 121 121 121 110 101 101 104 106
## [53,] 163 156 147 135 126 116 115 112 113
## [54,] 182 182 169 154 142 134 123 119 119
## [55,] 182 182 182 169 157 147 133 121 131
## [56,] 182 182 182 182 172 162 151 152 153
## [57,] 176 182 182 182 182 177 173 176 174
## [58,] 167 175 182 182 182 182 182 182 182
## [59,] 158 169 181 182 182 182 182 182 182
## [60,] 147 160 171 182 182 182 182 182 182
## [61,] 135 146 159 168 175 182 182 182 182
## [62,] 121 131 148 160 170 181 182 182 182
## [63,] 120 121 142 157 170 182 182 182 171
## [64,] 121 131 140 153 168 182 182 182 158
## [65,] 121 127 139 152 166 182 182 157 142
## [66,] 75 112 127 141 158 178 170 147 121
## [67,] 89 96 111 121 142 153 150 133 121
## [68,] 95 104 113 119 126 133 130 121 124
## [69,] 111 114 117 119 120 122 121 123 121
## [70,] 120 119 120 121 121 121 121 121 121
## [71,] 121 121 121 121 121 121 121 121 121
## [72,] 124 124 121 121 121 121 121 121 121
## [73,] 126 128 128 130 127 121 121 121 121
## [74,] 128 131 135 138 140 140 133 121 121
## [75,] 131 136 142 148 156 164 169 149 134
## [76,] 135 142 149 157 170 182 179 182 182
## [77,] 135 143 151 160 174 181 182 182 182
## [78,] 131 140 149 157 170 182 182 182 182
## [79,] 124 135 145 155 169 181 182 182 182
## [80,] 121 133 143 153 168 182 182 182 182
## [81,] 130 136 144 152 166 179 182 182 182
## [82,] 129 137 144 151 162 172 177 182 182
## [83,] 128 135 142 149 159 168 174 178 182
## [,839] [,840] [,841] [,842] [,843] [,844] [,845] [,846] [,847]
## [1,] 72 70 67 64 61 57 54 52 50
## [2,] 76 74 71 68 65 62 59 57 55
## [3,] 78 76 73 70 67 64 62 61 59
## [4,] 76 74 71 69 66 64 62 61 60
## [5,] 72 70 67 65 63 62 61 60 60
## [6,] 67 65 63 62 61 60 60 60 60
## [7,] 63 62 61 60 60 60 60 60 60
## [8,] 61 60 60 60 60 60 60 60 60
## [9,] 60 60 60 60 60 60 60 60 60
## [10,] 60 60 60 60 60 60 60 60 60
## [11,] 60 60 60 60 60 60 60 60 60
## [12,] 60 60 60 60 60 60 60 60 60
## [13,] 60 60 60 60 60 60 60 60 60
## [14,] 61 60 60 60 60 60 60 60 60
## [15,] 61 62 61 61 61 61 61 60 60
## [16,] 62 62 62 62 62 62 61 60 60
## [17,] 63 63 63 63 63 64 63 60 60
## [18,] 64 65 65 65 66 67 67 69 70
## [19,] 66 66 67 67 68 70 72 74 79
## [20,] 67 68 69 71 73 75 78 83 88
## [21,] 68 71 73 76 78 81 85 91 96
## [22,] 70 74 77 81 84 87 92 97 101
## [23,] 71 75 78 82 85 88 93 98 101
## [24,] 73 75 78 81 84 87 91 95 98
## [25,] 72 75 77 80 82 84 88 91 93
## [26,] 70 72 74 76 78 80 83 84 86
## [27,] 67 68 70 71 72 74 73 73 74
## [28,] 62 63 63 64 64 65 60 60 60
## [29,] 60 61 61 61 60 61 61 60 60
## [30,] 60 60 60 60 60 60 60 60 60
## [31,] 60 60 60 60 60 60 60 60 60
## [32,] 60 60 60 60 60 60 60 60 60
## [33,] 60 60 60 60 60 60 60 60 60
## [34,] 60 60 60 60 60 60 60 60 60
## [35,] 60 60 60 60 60 60 60 60 60
## [36,] 60 60 60 60 60 60 60 60 60
## [37,] 60 60 60 60 60 60 60 60 60
## [38,] 60 60 60 60 60 60 60 60 60
## [39,] 60 60 60 60 60 60 60 60 60
## [40,] 60 60 60 60 60 60 60 60 60
## [41,] 60 60 60 60 60 60 60 60 60
## [42,] 60 60 60 60 60 60 60 60 60
## [43,] 60 60 60 60 60 60 60 60 60
## [44,] 60 60 60 60 60 60 60 60 60
## [45,] 60 60 60 60 60 60 60 60 60
## [46,] 60 60 60 60 61 60 60 60 60
## [47,] 60 60 63 60 69 65 60 60 60
## [48,] 68 68 70 75 80 77 72 70 70
## [49,] 78 82 83 86 90 90 88 91 89
## [50,] 85 89 90 93 98 99 99 102 102
## [51,] 96 99 101 104 109 113 117 117 118
## [52,] 108 110 112 115 120 121 138 137 142
## [53,] 115 118 119 124 137 153 170 160 163
## [54,] 121 134 136 147 167 182 176 182 182
## [55,] 146 156 158 166 179 181 186 190 191
## [56,] 168 182 182 176 178 182 192 200 206
## [57,] 182 180 181 182 181 188 199 211 224
## [58,] 181 182 182 182 182 196 208 220 243
## [59,] 182 182 182 182 182 191 202 211 223
## [60,] 182 182 182 182 182 182 192 195 207
## [61,] 182 182 182 182 173 178 182 182 195
## [62,] 177 173 166 159 157 163 171 179 182
## [63,] 162 152 146 139 141 148 163 176 180
## [64,] 142 130 127 124 126 135 159 178 180
## [65,] 121 125 122 121 122 121 157 182 181
## [66,] 123 122 122 131 142 170 167 182 185
## [67,] 121 121 134 162 182 175 182 184 190
## [68,] 121 125 150 182 180 182 183 188 196
## [69,] 121 135 153 182 182 182 186 192 200
## [70,] 121 130 145 164 177 182 185 191 200
## [71,] 121 121 130 153 163 173 182 182 188
## [72,] 121 121 126 145 155 164 171 178 182
## [73,] 121 121 121 133 142 152 160 168 178
## [74,] 121 121 121 121 130 138 148 157 170
## [75,] 121 121 121 121 121 126 137 146 158
## [76,] 150 121 121 121 121 121 127 135 146
## [77,] 182 167 129 121 121 121 121 125 134
## [78,] 182 182 167 121 121 121 121 121 121
## [79,] 182 183 183 171 162 139 131 121 121
## [80,] 182 183 184 185 184 182 182 157 143
## [81,] 182 184 186 188 187 187 185 182 171
## [82,] 182 185 189 192 192 194 194 195 189
## [83,] 182 186 191 195 198 201 203 207 205
## [,848] [,849] [,850] [,851] [,852] [,853] [,854] [,855] [,856]
## [1,] 48 47 46 44 41 38 34 31 29
## [2,] 54 53 52 50 47 43 40 37 35
## [3,] 58 58 57 54 51 47 44 42 39
## [4,] 60 60 59 57 54 49 46 44 41
## [5,] 60 60 60 59 56 51 48 45 43
## [6,] 60 60 60 59 56 52 49 46 45
## [7,] 60 60 60 59 56 52 50 48 47
## [8,] 60 60 60 59 56 53 52 50 49
## [9,] 60 60 60 59 57 55 54 52 51
## [10,] 60 60 60 60 58 57 55 54 53
## [11,] 60 60 60 60 60 59 57 56 55
## [12,] 60 60 61 60 60 60 58 58 57
## [13,] 60 60 64 64 61 60 59 59 59
## [14,] 60 60 68 69 66 60 60 60 60
## [15,] 60 67 74 76 74 68 63 60 60
## [16,] 60 77 82 84 83 78 72 66 60
## [17,] 70 81 86 89 89 84 78 71 67
## [18,] 77 88 93 97 99 93 87 79 73
## [19,] 85 94 100 105 108 103 96 86 78
## [20,] 93 100 107 116 117 112 105 93 81
## [21,] 101 107 115 121 121 121 114 99 85
## [22,] 106 111 118 121 121 121 121 100 82
## [23,] 105 109 113 119 121 121 121 101 87
## [24,] 101 105 109 116 121 121 110 102 94
## [25,] 96 99 103 111 117 121 113 107 103
## [26,] 88 92 96 106 115 121 119 116 113
## [27,] 75 82 87 100 112 121 121 121 120
## [28,] 60 72 75 94 108 114 121 120 121
## [29,] 60 60 66 87 101 107 111 115 119
## [30,] 60 60 71 84 95 99 103 105 109
## [31,] 60 60 70 81 88 91 94 96 99
## [32,] 60 60 68 75 80 83 85 86 88
## [33,] 60 60 65 70 72 74 75 76 76
## [34,] 60 60 60 63 64 65 66 66 64
## [35,] 60 60 60 60 61 61 62 61 60
## [36,] 60 60 60 60 60 60 60 60 60
## [37,] 60 60 60 60 60 60 60 60 60
## [38,] 60 60 60 60 60 60 60 60 60
## [39,] 60 60 60 60 60 60 60 60 60
## [40,] 60 60 60 60 60 60 60 60 60
## [41,] 60 60 60 60 60 60 60 60 60
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## [43,] 60 60 60 60 60 60 60 60 60
## [44,] 60 60 60 60 60 60 60 60 60
## [45,] 60 60 60 60 60 60 60 60 60
## [46,] 60 60 60 60 60 60 60 60 60
## [47,] 60 60 60 60 60 60 60 60 60
## [48,] 65 64 71 64 60 60 60 60 60
## [49,] 85 84 83 75 70 65 60 60 60
## [50,] 103 96 91 86 81 74 66 60 60
## [51,] 122 112 104 99 96 86 76 66 67
## [52,] 135 125 121 117 121 103 91 82 86
## [53,] 155 146 136 131 127 118 106 99 100
## [54,] 172 166 159 158 157 138 121 115 113
## [55,] 190 183 177 178 181 172 146 121 120
## [56,] 212 199 182 187 184 181 182 121 121
## [57,] 235 220 208 196 188 182 161 143 136
## [58,] 239 243 227 213 199 182 172 161 163
## [59,] 237 243 243 227 213 198 182 176 173
## [60,] 225 243 243 243 236 220 210 195 189
## [61,] 215 234 243 243 243 243 231 217 209
## [62,] 198 223 243 243 243 243 243 237 227
## [63,] 182 202 221 243 243 243 243 243 243
## [64,] 182 182 192 224 239 243 243 243 243
## [65,] 182 182 210 218 231 238 243 243 243
## [66,] 189 197 209 220 229 236 240 243 243
## [67,] 198 208 216 224 231 238 242 243 243
## [68,] 207 220 229 238 240 242 243 243 243
## [69,] 215 234 243 240 243 243 243 243 243
## [70,] 217 243 241 243 243 243 243 243 243
## [71,] 208 222 231 238 243 243 243 243 243
## [72,] 194 202 201 214 224 235 243 243 243
## [73,] 183 185 183 190 202 214 229 232 237
## [74,] 182 182 182 180 182 195 207 209 213
## [75,] 170 174 167 169 173 179 190 190 187
## [76,] 157 157 155 156 161 167 178 184 182
## [77,] 143 145 143 143 149 155 164 171 158
## [78,] 130 133 132 130 137 142 149 147 141
## [79,] 121 123 123 122 125 129 132 128 126
## [80,] 121 121 121 121 122 121 121 122 121
## [81,] 139 121 121 121 121 121 121 121 121
## [82,] 172 151 139 128 121 121 121 121 121
## [83,] 194 182 182 160 139 121 121 121 121
## [,857] [,858] [,859] [,860] [,861] [,862] [,863] [,864] [,865]
## [1,] 29 31 34 37 41 44 48 51 54
## [2,] 35 36 39 43 46 50 52 55 57
## [3,] 39 41 45 49 52 55 57 58 60
## [4,] 41 44 48 53 56 58 59 60 60
## [5,] 43 46 51 55 57 59 60 60 61
## [6,] 45 47 51 55 57 59 60 60 62
## [7,] 47 49 52 55 56 58 59 60 64
## [8,] 49 50 52 55 56 58 59 60 65
## [9,] 52 53 54 56 57 58 59 60 62
## [10,] 54 55 56 57 57 58 59 60 60
## [11,] 56 56 57 57 58 58 59 59 60
## [12,] 57 57 57 58 58 58 59 59 59
## [13,] 59 58 58 59 59 59 59 59 60
## [14,] 60 60 60 60 60 60 60 60 60
## [15,] 60 60 60 60 60 60 60 60 60
## [16,] 60 60 60 60 60 60 60 60 60
## [17,] 62 60 60 60 60 60 60 60 60
## [18,] 67 62 60 60 60 60 60 60 60
## [19,] 69 63 61 60 60 60 60 60 60
## [20,] 70 63 61 60 60 60 60 60 60
## [21,] 70 63 60 60 60 60 60 60 60
## [22,] 67 60 61 60 60 60 60 60 60
## [23,] 78 72 71 72 73 75 77 80 81
## [24,] 88 86 87 89 92 97 102 111 111
## [25,] 99 100 104 106 108 114 121 134 145
## [26,] 112 110 113 114 116 121 134 149 168
## [27,] 120 120 121 121 124 137 151 170 180
## [28,] 121 121 121 121 130 147 168 181 182
## [29,] 121 121 120 121 126 143 167 173 167
## [30,] 112 111 115 118 121 121 121 121 121
## [31,] 100 102 106 110 113 116 118 121 121
## [32,] 88 93 98 103 107 112 116 121 121
## [33,] 76 84 90 96 101 107 113 120 121
## [34,] 64 74 81 87 94 101 108 117 121
## [35,] 61 64 71 78 86 94 105 116 121
## [36,] 60 60 60 68 75 86 100 111 114
## [37,] 60 60 60 60 68 81 96 107 111
## [38,] 60 60 60 60 64 76 90 102 108
## [39,] 60 60 60 60 66 74 85 97 105
## [40,] 60 60 60 60 62 72 84 95 102
## [41,] 60 60 60 60 67 71 81 91 98
## [42,] 60 60 60 60 67 72 78 85 92
## [43,] 60 60 60 60 65 69 72 78 85
## [44,] 60 60 60 60 62 63 64 70 78
## [45,] 60 60 60 60 60 60 60 60 72
## [46,] 60 60 60 60 60 60 60 63 69
## [47,] 60 60 60 60 60 60 60 60 64
## [48,] 60 60 60 60 60 60 60 60 60
## [49,] 60 60 60 60 60 60 60 60 60
## [50,] 64 60 60 60 60 60 60 60 60
## [51,] 74 75 70 64 60 60 60 60 60
## [52,] 88 90 84 76 67 60 60 60 60
## [53,] 102 105 97 88 79 67 60 60 60
## [54,] 116 121 111 100 90 76 60 60 60
## [55,] 122 122 121 112 102 88 74 67 62
## [56,] 128 130 126 121 113 100 87 80 73
## [57,] 141 143 138 131 125 113 95 88 80
## [58,] 162 156 149 143 136 121 108 99 90
## [59,] 172 165 157 150 144 134 121 110 101
## [60,] 185 178 169 163 157 151 131 119 111
## [61,] 200 191 182 179 177 182 161 138 121
## [62,] 217 207 197 190 186 184 182 158 142
## [63,] 233 223 213 206 197 188 182 172 159
## [64,] 243 238 228 221 209 199 192 182 176
## [65,] 243 243 243 234 222 214 209 196 182
## [66,] 243 243 243 243 238 235 234 219 214
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## [68,] 243 243 243 243 243 243 243 243 243
## [69,] 243 243 243 243 243 243 243 243 243
## [70,] 243 243 243 243 243 243 243 243 243
## [71,] 243 243 243 243 243 243 243 243 243
## [72,] 243 243 243 243 243 243 243 243 243
## [73,] 243 243 243 240 242 243 243 243 243
## [74,] 199 182 206 235 242 243 243 243 243
## [75,] 183 184 182 226 243 243 243 243 243
## [76,] 177 179 182 208 243 243 243 243 243
## [77,] 163 166 175 186 206 222 235 243 243
## [78,] 147 153 167 178 182 201 222 243 243
## [79,] 138 145 163 177 181 182 209 243 243
## [80,] 125 133 161 177 181 182 182 197 213
## [81,] 121 121 161 179 182 182 182 182 208
## [82,] 121 149 173 182 182 182 182 182 190
## [83,] 121 143 157 176 182 182 182 184 185
## [,866] [,867] [,868] [,869] [,870] [,871] [,872] [,873] [,874]
## [1,] 56 58 60 61 63 65 68 70 74
## [2,] 58 60 61 62 65 68 72 77 83
## [3,] 61 61 63 65 69 73 78 85 91
## [4,] 61 63 66 70 74 79 85 92 99
## [5,] 63 67 71 76 81 87 93 100 106
## [6,] 66 71 78 84 89 95 101 108 112
## [7,] 69 76 84 92 98 104 109 114 117
## [8,] 73 82 92 101 108 112 115 118 120
## [9,] 75 90 103 111 116 118 120 121 121
## [10,] 73 96 107 113 118 120 121 121 121
## [11,] 63 78 95 106 114 119 121 121 121
## [12,] 60 60 82 95 107 118 121 121 121
## [13,] 60 60 72 86 101 119 121 121 121
## [14,] 60 60 60 73 89 104 117 121 115
## [15,] 60 60 60 60 75 90 92 83 96
## [16,] 60 60 60 60 60 68 66 60 74
## [17,] 60 60 60 60 60 60 60 60 60
## [18,] 60 60 60 60 60 60 60 60 60
## [19,] 60 60 60 60 60 60 60 60 60
## [20,] 60 60 60 60 60 60 60 60 60
## [21,] 60 60 60 60 60 60 60 60 60
## [22,] 60 60 60 60 60 60 60 60 60
## [23,] 81 69 60 60 60 60 60 60 60
## [24,] 111 96 87 73 65 60 60 60 60
## [25,] 142 121 121 104 89 71 65 60 60
## [26,] 182 157 135 121 106 102 88 80 69
## [27,] 179 182 172 150 139 132 113 101 95
## [28,] 181 182 182 182 182 171 139 121 121
## [29,] 176 182 182 182 182 182 172 169 147
## [30,] 144 163 176 182 182 182 182 182 182
## [31,] 121 147 157 161 172 182 182 172 162
## [32,] 135 138 142 144 150 154 145 150 150
## [33,] 125 128 127 129 129 126 123 127 149
## [34,] 121 121 122 121 122 123 121 159 162
## [35,] 121 121 121 121 122 121 147 182 182
## [36,] 118 120 121 121 121 121 129 136 152
## [37,] 115 119 121 121 121 121 121 121 121
## [38,] 113 118 121 121 121 121 121 121 121
## [39,] 111 118 121 121 121 121 121 121 121
## [40,] 110 118 121 121 121 121 121 133 150
## [41,] 105 111 116 121 121 121 121 131 148
## [42,] 99 105 111 115 119 121 121 121 128
## [43,] 92 99 106 113 119 121 121 121 121
## [44,] 86 93 101 111 119 121 121 121 121
## [45,] 81 89 98 112 121 121 121 121 121
## [46,] 78 88 97 114 121 121 121 121 121
## [47,] 71 80 89 101 113 119 121 121 121
## [48,] 60 69 77 90 102 110 121 121 121
## [49,] 60 60 65 78 88 97 105 116 121
## [50,] 60 60 60 65 72 81 87 98 109
## [51,] 60 60 60 60 60 66 67 79 88
## [52,] 60 60 60 60 60 60 60 60 66
## [53,] 60 60 60 60 60 60 60 60 60
## [54,] 60 60 60 60 60 60 60 60 60
## [55,] 60 60 60 60 60 60 60 60 60
## [56,] 66 60 60 60 60 60 60 60 60
## [57,] 72 65 60 60 60 60 60 60 60
## [58,] 82 74 63 60 60 60 60 60 60
## [59,] 93 87 79 73 65 60 60 60 60
## [60,] 105 101 98 90 80 76 72 67 62
## [61,] 118 117 119 105 93 89 82 76 69
## [62,] 131 128 124 118 104 101 96 89 81
## [63,] 155 149 136 121 114 113 110 103 90
## [64,] 175 166 156 147 134 129 124 117 103
## [65,] 187 182 177 182 165 153 140 129 116
## [66,] 204 196 185 186 182 170 157 139 125
## [67,] 222 215 206 203 191 182 172 152 134
## [68,] 233 227 220 223 202 185 182 165 151
## [69,] 243 240 240 243 220 192 180 177 170
## [70,] 243 243 243 243 243 212 197 182 182
## [71,] 243 243 243 243 231 222 213 209 206
## [72,] 243 243 243 243 243 233 230 229 228
## [73,] 243 243 243 243 243 243 243 243 243
## [74,] 242 242 242 242 243 243 243 243 243
## [75,] 242 242 242 242 243 243 243 243 243
## [76,] 242 242 242 242 242 243 243 243 243
## [77,] 241 241 242 242 242 243 243 243 243
## [78,] 238 241 242 242 243 243 243 243 243
## [79,] 232 240 242 242 243 243 242 243 243
## [80,] 201 237 243 243 236 237 239 242 243
## [81,] 243 182 182 206 219 226 234 240 243
## [82,] 189 187 183 182 203 218 230 239 243
## [83,] 182 182 182 201 207 220 234 243 247
## [,875] [,876] [,877] [,878] [,879] [,880] [,881] [,882] [,883]
## [1,] 77 79 79 79 80 80 81 82 82
## [2,] 86 88 88 87 87 87 88 89 89
## [3,] 95 96 96 94 93 94 95 96 96
## [4,] 102 104 103 101 99 99 100 101 101
## [5,] 109 110 110 108 105 105 106 106 107
## [6,] 115 116 116 114 111 110 111 111 112
## [7,] 119 120 120 119 117 115 116 116 117
## [8,] 121 121 121 121 120 120 120 120 120
## [9,] 121 121 121 121 121 121 121 121 121
## [10,] 121 121 121 121 121 121 121 121 121
## [11,] 121 121 121 121 121 121 121 121 121
## [12,] 121 121 121 121 121 121 121 121 121
## [13,] 121 121 121 121 121 121 121 121 121
## [14,] 118 121 119 121 121 121 121 121 121
## [15,] 101 108 114 119 121 121 121 121 117
## [16,] 81 90 97 108 107 111 112 104 105
## [17,] 60 71 76 88 91 95 92 89 89
## [18,] 60 60 60 71 75 77 77 75 72
## [19,] 60 60 60 60 64 65 65 64 60
## [20,] 60 60 60 60 60 61 61 60 61
## [21,] 60 60 60 60 60 60 60 60 60
## [22,] 60 60 60 60 60 60 60 60 60
## [23,] 60 60 60 60 60 60 60 60 60
## [24,] 60 60 60 60 60 60 60 60 60
## [25,] 60 60 60 60 60 60 60 60 60
## [26,] 60 60 60 60 60 60 60 60 60
## [27,] 81 71 66 60 60 60 63 60 60
## [28,] 106 95 86 80 81 82 74 74 67
## [29,] 128 115 108 105 111 103 94 92 87
## [30,] 149 131 121 121 124 121 111 110 107
## [31,] 154 139 126 142 146 145 138 132 132
## [32,] 151 146 149 160 170 182 182 165 160
## [33,] 161 164 169 177 181 181 182 182 182
## [34,] 182 182 182 180 182 182 182 183 183
## [35,] 177 182 182 182 181 182 182 184 185
## [36,] 152 152 160 175 180 182 185 187 187
## [37,] 121 121 153 170 179 182 192 199 194
## [38,] 121 130 156 177 187 204 216 228 209
## [39,] 142 172 182 185 203 219 243 238 235
## [40,] 172 178 181 192 203 218 236 243 243
## [41,] 154 177 182 182 194 208 223 243 243
## [42,] 131 155 176 181 182 189 204 214 223
## [43,] 121 135 164 178 182 182 182 182 197
## [44,] 121 134 158 182 182 182 182 181 185
## [45,] 121 136 147 154 162 166 165 178 182
## [46,] 121 130 138 135 134 132 121 162 182
## [47,] 121 122 124 125 124 121 121 141 169
## [48,] 121 121 121 121 121 116 121 119 127
## [49,] 121 117 106 108 108 99 98 90 91
## [50,] 112 92 88 86 77 71 60 62 61
## [51,] 83 69 71 65 62 60 62 60 61
## [52,] 67 60 60 61 60 60 60 60 60
## [53,] 60 61 60 60 60 60 60 60 69
## [54,] 60 60 60 60 60 60 60 72 90
## [55,] 60 60 60 60 60 60 81 99 105
## [56,] 60 60 60 60 60 81 111 120 121
## [57,] 60 60 60 60 60 60 108 120 121
## [58,] 60 60 60 60 60 60 87 121 121
## [59,] 60 60 60 60 60 60 60 90 121
## [60,] 60 60 60 60 60 60 60 60 95
## [61,] 60 60 60 60 60 60 60 72 87
## [62,] 69 60 60 60 60 60 60 60 69
## [63,] 76 68 60 60 60 60 60 60 60
## [64,] 88 78 69 60 60 60 60 60 60
## [65,] 100 89 80 71 60 60 60 60 60
## [66,] 108 97 90 82 72 60 60 60 60
## [67,] 118 109 105 101 90 78 63 60 60
## [68,] 136 121 121 121 109 96 74 60 60
## [69,] 164 162 167 147 127 114 86 66 60
## [70,] 182 182 179 182 145 113 89 80 71
## [71,] 197 189 185 182 158 115 99 93 86
## [72,] 217 207 195 185 182 118 110 106 104
## [73,] 237 221 203 185 177 145 120 119 119
## [74,] 243 243 217 201 182 163 154 152 158
## [75,] 243 243 237 221 206 185 178 188 182
## [76,] 243 243 243 243 228 210 209 209 196
## [77,] 243 243 243 243 243 226 227 227 215
## [78,] 243 243 244 244 244 244 244 243 237
## [79,] 244 244 245 246 246 247 245 245 243
## [80,] 244 245 247 249 251 250 249 248 245
## [81,] 245 247 250 252 255 254 255 254 250
## [82,] 247 250 253 256 261 262 267 270 263
## [83,] 250 253 256 259 270 282 292 304 285
## [,884] [,885] [,886] [,887] [,888] [,889] [,890] [,891] [,892]
## [1,] 82 81 80 78 76 74 71 68 64
## [2,] 89 89 88 86 85 83 81 76 71
## [3,] 96 97 96 94 94 93 91 83 78
## [4,] 102 103 103 103 104 103 102 96 89
## [5,] 107 109 110 111 112 112 111 107 101
## [6,] 113 114 116 117 118 118 118 115 112
## [7,] 117 118 119 120 121 121 121 121 120
## [8,] 119 119 120 121 121 121 122 122 122
## [9,] 121 121 121 121 121 122 123 123 123
## [10,] 121 121 121 121 121 123 124 124 125
## [11,] 121 121 121 121 121 123 124 125 126
## [12,] 121 121 121 121 121 123 125 126 127
## [13,] 121 121 121 121 121 121 122 123 121
## [14,] 121 121 121 121 121 121 121 121 121
## [15,] 121 120 121 121 121 121 121 121 121
## [16,] 103 110 117 118 119 120 121 121 121
## [17,] 85 95 106 111 116 120 121 121 121
## [18,] 67 82 97 105 112 121 121 121 121
## [19,] 61 76 87 96 103 110 121 121 121
## [20,] 61 70 78 85 90 94 104 113 114
## [21,] 60 66 70 73 75 74 85 94 100
## [22,] 60 60 63 64 64 60 73 83 92
## [23,] 60 60 60 61 60 61 60 69 80
## [24,] 60 60 60 60 60 60 60 60 68
## [25,] 60 60 60 60 60 60 60 60 60
## [26,] 60 60 60 60 60 60 60 60 60
## [27,] 60 60 60 60 60 60 60 60 60
## [28,] 60 60 60 60 60 60 60 60 60
## [29,] 80 69 67 68 68 68 65 60 60
## [30,] 101 91 89 90 91 91 82 70 60
## [31,] 117 110 109 113 114 114 100 88 82
## [32,] 145 121 121 138 141 130 116 108 99
## [33,] 182 158 158 158 161 149 129 121 111
## [34,] 183 182 182 182 182 174 163 141 128
## [35,] 183 182 182 182 182 182 182 167 151
## [36,] 183 182 182 182 182 182 182 182 175
## [37,] 184 182 182 182 182 182 182 182 182
## [38,] 188 183 182 180 182 182 174 179 182
## [39,] 202 186 182 168 151 155 158 164 167
## [40,] 211 189 177 156 121 132 141 146 148
## [41,] 214 198 187 182 121 121 125 128 130
## [42,] 210 197 182 152 121 121 121 123 124
## [43,] 198 192 182 151 121 117 121 121 121
## [44,] 189 188 182 151 121 111 121 121 121
## [45,] 183 183 169 147 121 83 94 112 121
## [46,] 182 155 142 132 121 64 60 81 89
## [47,] 182 119 86 91 67 65 62 61 67
## [48,] 121 60 71 62 61 62 61 60 61
## [49,] 66 69 63 62 61 61 60 79 87
## [50,] 60 65 61 60 60 60 109 133 148
## [51,] 61 60 72 88 98 105 162 177 184
## [52,] 60 86 101 121 121 153 182 182 187
## [53,] 86 99 115 119 146 167 172 182 194
## [54,] 97 104 113 121 161 182 182 182 186
## [55,] 108 110 114 121 141 164 182 182 182
## [56,] 121 119 119 120 125 144 154 169 169
## [57,] 121 121 121 121 121 121 121 138 137
## [58,] 121 121 121 121 121 121 121 121 121
## [59,] 121 121 121 121 121 121 121 121 121
## [60,] 121 121 121 121 121 121 121 129 135
## [61,] 121 121 121 121 121 121 139 152 167
## [62,] 75 100 114 120 130 147 158 175 181
## [63,] 60 60 97 121 166 172 173 182 182
## [64,] 60 60 91 133 161 182 182 181 182
## [65,] 60 77 90 128 144 158 173 182 182
## [66,] 60 71 87 113 121 137 144 156 165
## [67,] 60 60 67 106 119 121 121 130 141
## [68,] 60 60 60 106 118 120 121 121 121
## [69,] 60 60 60 110 119 121 121 121 121
## [70,] 60 71 108 116 121 121 121 121 121
## [71,] 90 89 114 120 121 121 121 121 121
## [72,] 108 109 119 121 121 121 121 121 121
## [73,] 130 125 121 121 121 121 121 121 121
## [74,] 158 145 130 121 121 121 121 121 121
## [75,] 182 160 140 121 121 121 121 121 121
## [76,] 189 182 163 131 121 121 121 121 121
## [77,] 202 192 173 139 121 121 121 121 121
## [78,] 219 204 187 159 131 121 121 121 121
## [79,] 232 217 196 182 150 121 121 121 121
## [80,] 240 226 204 182 165 148 130 121 121
## [81,] 243 236 213 194 182 167 151 134 121
## [82,] 254 243 225 206 195 186 173 149 129
## [83,] 270 255 237 218 206 195 182 170 145
## [,893] [,894] [,895] [,896] [,897] [,898] [,899] [,900] [,901]
## [1,] 61 59 58 58 57 57 56 56 56
## [2,] 68 66 64 62 60 58 56 54 54
## [3,] 76 74 72 67 63 60 57 54 53
## [4,] 86 84 79 76 70 66 61 59 57
## [5,] 98 96 92 86 80 74 70 67 65
## [6,] 108 107 105 101 94 87 81 78 75
## [7,] 117 116 115 112 107 100 94 90 87
## [8,] 122 122 123 121 118 113 108 104 101
## [9,] 125 125 126 128 128 127 122 118 116
## [10,] 127 128 131 135 139 141 142 138 136
## [11,] 129 132 137 143 150 156 161 160 158
## [12,] 129 136 145 154 162 173 181 182 182
## [13,] 121 131 150 164 174 181 182 181 182
## [14,] 121 134 158 177 181 181 181 182 182
## [15,] 141 153 182 178 181 181 182 182 164
## [16,] 138 153 162 175 181 182 164 150 133
## [17,] 133 142 149 157 157 150 121 121 128
## [18,] 124 129 133 136 134 125 124 123 122
## [19,] 121 121 122 123 124 123 122 121 122
## [20,] 119 121 121 121 122 122 121 121 121
## [21,] 108 111 113 117 121 120 120 121 121
## [22,] 100 104 105 110 113 115 117 120 121
## [23,] 89 93 94 99 105 111 115 119 121
## [24,] 79 82 83 88 97 106 113 121 121
## [25,] 69 71 72 78 86 97 104 111 118
## [26,] 60 60 60 67 74 88 94 101 108
## [27,] 60 60 60 60 64 79 85 91 98
## [28,] 60 60 60 60 60 71 74 81 87
## [29,] 60 60 60 60 60 63 64 71 77
## [30,] 60 60 60 60 60 60 60 60 67
## [31,] 73 60 60 60 60 60 60 60 60
## [32,] 90 81 79 72 62 60 60 60 60
## [33,] 101 98 97 89 77 66 60 60 60
## [34,] 116 115 115 100 89 83 75 66 60
## [35,] 146 138 129 116 103 99 94 84 72
## [36,] 173 162 150 133 117 116 114 103 90
## [37,] 182 182 170 152 130 124 122 121 109
## [38,] 182 182 182 154 134 128 124 121 118
## [39,] 174 182 164 143 132 128 125 123 121
## [40,] 152 146 145 138 125 124 124 123 121
## [41,] 128 121 128 124 123 121 121 122 122
## [42,] 121 123 121 122 121 122 121 121 121
## [43,] 122 120 121 121 121 121 121 121 121
## [44,] 121 117 118 119 120 120 121 121 121
## [45,] 113 111 115 117 119 120 120 120 121
## [46,] 94 100 114 117 118 119 120 120 121
## [47,] 73 93 113 117 118 119 120 120 121
## [48,] 60 91 114 118 119 120 120 121 121
## [49,] 110 132 147 132 126 121 121 121 121
## [50,] 159 182 181 164 147 131 121 121 143
## [51,] 190 204 209 191 173 153 140 154 157
## [52,] 207 228 243 222 197 182 176 182 175
## [53,] 212 243 241 243 211 197 182 187 187
## [54,] 200 216 238 233 222 219 220 214 216
## [55,] 182 197 205 226 230 243 243 243 240
## [56,] 172 179 184 191 222 241 243 248 256
## [57,] 151 166 181 199 211 227 243 255 288
## [58,] 131 153 182 192 205 219 232 241 255
## [59,] 121 131 167 182 192 210 228 239 252
## [60,] 142 137 156 174 182 208 238 242 246
## [61,] 182 177 172 182 189 198 217 243 240
## [62,] 180 182 182 180 182 182 201 215 238
## [63,] 181 182 182 182 182 181 182 191 214
## [64,] 182 182 182 182 182 180 178 179 192
## [65,] 182 182 182 182 182 177 173 172 181
## [66,] 174 179 182 182 173 168 160 159 182
## [67,] 147 154 164 162 159 148 129 129 153
## [68,] 121 134 148 158 160 153 121 122 121
## [69,] 121 121 130 177 182 182 167 128 122
## [70,] 121 121 121 121 182 182 182 153 121
## [71,] 121 121 121 121 131 165 182 165 121
## [72,] 121 121 121 121 121 121 182 151 121
## [73,] 121 121 121 121 121 121 121 140 121
## [74,] 121 121 121 121 121 121 121 123 123
## [75,] 121 121 121 121 121 121 121 121 121
## [76,] 121 121 121 121 121 121 121 121 121
## [77,] 121 121 121 121 121 121 121 121 121
## [78,] 121 121 121 121 121 121 121 121 121
## [79,] 121 121 121 121 121 121 121 121 121
## [80,] 121 121 121 121 121 121 121 121 121
## [81,] 121 121 121 121 121 121 121 121 121
## [82,] 121 121 121 121 121 121 121 121 121
## [83,] 121 121 121 121 121 121 121 121 121
## [,902] [,903] [,904] [,905] [,906] [,907] [,908] [,909] [,910]
## [1,] 56 57 58 60 62 66 70 75 81
## [2,] 54 55 57 60 63 66 71 76 81
## [3,] 54 55 57 60 63 67 72 76 81
## [4,] 57 57 58 60 62 65 68 72 76
## [5,] 63 62 62 62 62 63 65 67 72
## [6,] 73 70 69 66 65 65 66 67 72
## [7,] 85 82 79 75 74 73 73 73 79
## [8,] 99 95 92 87 85 84 83 82 88
## [9,] 114 109 105 100 98 96 95 92 95
## [10,] 134 128 120 119 117 113 110 105 105
## [11,] 154 146 134 142 136 129 123 115 115
## [12,] 176 169 163 166 155 143 133 121 121
## [13,] 182 182 180 181 182 166 151 136 121
## [14,] 182 182 182 182 182 182 175 159 154
## [15,] 166 171 178 182 182 182 182 182 171
## [16,] 143 155 173 182 182 182 182 182 182
## [17,] 121 143 168 182 182 182 182 182 182
## [18,] 121 135 162 181 178 182 182 182 182
## [19,] 121 121 139 142 160 170 182 182 182
## [20,] 121 121 121 121 138 154 171 182 181
## [21,] 121 121 121 121 121 129 157 170 179
## [22,] 121 121 121 121 121 121 150 173 182
## [23,] 121 121 121 121 136 170 172 178 181
## [24,] 121 121 121 121 147 163 182 182 181
## [25,] 121 121 121 121 140 151 161 174 171
## [26,] 114 121 121 121 130 136 142 149 129
## [27,] 103 107 116 121 121 123 125 125 122
## [28,] 92 99 109 115 121 120 121 121 121
## [29,] 81 89 99 106 109 116 117 120 121
## [30,] 69 78 89 97 102 109 114 119 121
## [31,] 60 72 83 91 97 103 110 118 121
## [32,] 60 64 73 81 88 94 103 115 119
## [33,] 60 60 60 69 73 76 86 97 105
## [34,] 60 60 60 60 60 60 67 79 87
## [35,] 60 60 60 60 60 60 60 65 73
## [36,] 79 67 62 60 60 60 60 60 60
## [37,] 91 76 68 66 63 60 60 60 60
## [38,] 99 83 75 73 70 69 66 64 63
## [39,] 106 88 81 80 77 76 74 72 72
## [40,] 108 92 85 84 82 81 79 78 78
## [41,] 111 97 92 91 89 89 87 87 88
## [42,] 105 101 99 98 96 96 95 96 97
## [43,] 110 107 105 105 104 104 103 104 106
## [44,] 116 113 112 112 111 112 111 111 112
## [45,] 120 119 118 119 118 119 117 117 117
## [46,] 121 121 121 123 121 124 121 121 121
## [47,] 121 121 127 131 136 135 134 128 130
## [48,] 122 121 138 142 147 148 147 143 138
## [49,] 134 142 149 154 158 162 162 153 146
## [50,] 148 155 160 166 170 176 177 162 152
## [51,] 160 164 168 173 177 182 181 168 157
## [52,] 176 178 179 187 187 184 183 174 163
## [53,] 195 195 200 203 198 194 185 177 168
## [54,] 214 215 218 224 218 208 193 182 174
## [55,] 234 234 236 243 243 230 210 194 182
## [56,] 253 243 243 246 244 243 227 212 200
## [57,] 304 304 284 255 247 244 243 231 219
## [58,] 293 304 288 266 248 244 243 243 237
## [59,] 270 272 272 253 243 243 243 243 243
## [60,] 261 256 252 246 245 238 235 233 238
## [61,] 243 248 248 246 243 229 213 203 212
## [62,] 243 243 245 245 243 221 196 182 191
## [63,] 238 243 243 243 243 222 182 181 180
## [64,] 222 243 243 243 243 214 182 171 166
## [65,] 201 215 226 227 215 202 182 158 143
## [66,] 182 186 182 191 182 187 150 142 121
## [67,] 169 169 167 161 143 146 124 122 123
## [68,] 138 137 134 121 127 123 121 122 121
## [69,] 121 125 124 122 121 121 121 121 121
## [70,] 121 121 121 121 121 121 121 121 121
## [71,] 121 121 121 121 121 121 121 121 121
## [72,] 121 121 121 121 121 121 121 121 121
## [73,] 121 121 121 121 121 121 121 121 162
## [74,] 122 121 121 121 121 131 145 172 180
## [75,] 123 122 121 121 123 139 157 168 182
## [76,] 121 121 121 121 124 137 151 166 182
## [77,] 121 121 121 121 121 131 145 159 169
## [78,] 121 121 121 121 121 121 136 147 155
## [79,] 121 121 121 121 121 121 128 134 138
## [80,] 121 121 121 121 121 121 121 123 124
## [81,] 121 121 121 121 121 121 121 121 121
## [82,] 121 121 121 121 121 121 121 121 121
## [83,] 121 121 121 121 121 121 121 121 121
## [,911] [,912] [,913] [,914] [,915] [,916] [,917] [,918] [,919]
## [1,] 87 94 100 105 110 114 118 123 129
## [2,] 87 94 100 106 111 115 119 124 131
## [3,] 87 95 102 109 114 118 121 126 135
## [4,] 84 94 103 110 115 118 121 127 137
## [5,] 82 93 104 112 117 120 121 129 143
## [6,] 84 96 107 115 119 121 121 124 134
## [7,] 91 103 112 117 120 121 121 121 126
## [8,] 98 108 115 119 121 121 121 121 122
## [9,] 103 112 118 121 121 121 121 121 121
## [10,] 110 116 120 121 121 121 121 121 121
## [11,] 118 120 121 121 121 121 121 121 121
## [12,] 122 123 121 121 121 121 121 121 121
## [13,] 133 129 125 121 121 121 121 121 121
## [14,] 145 138 133 126 121 121 121 121 121
## [15,] 158 149 143 133 121 121 121 121 121
## [16,] 174 172 170 151 130 121 133 150 139
## [17,] 182 181 182 182 156 160 159 182 166
## [18,] 182 182 182 182 170 170 178 182 182
## [19,] 182 182 182 182 182 180 180 182 182
## [20,] 182 182 182 182 182 182 182 182 182
## [21,] 182 182 182 182 182 182 182 182 182
## [22,] 182 182 182 182 182 182 182 182 182
## [23,] 181 182 182 182 182 182 182 182 182
## [24,] 176 179 182 182 182 182 182 182 182
## [25,] 165 173 182 182 182 182 182 182 182
## [26,] 147 160 171 182 182 182 182 182 182
## [27,] 126 144 154 162 170 173 170 155 164
## [28,] 121 130 136 139 140 145 138 121 138
## [29,] 121 121 124 121 121 129 126 126 121
## [30,] 121 121 121 121 121 121 122 121 122
## [31,] 121 121 121 121 121 120 120 121 121
## [32,] 119 121 121 121 121 120 118 119 119
## [33,] 113 121 121 121 121 119 116 117 118
## [34,] 98 106 115 121 117 113 114 115 117
## [35,] 81 87 94 92 106 109 112 114 116
## [36,] 66 67 69 68 97 107 111 113 115
## [37,] 60 60 60 68 95 105 110 112 114
## [38,] 62 60 60 76 96 104 109 111 114
## [39,] 70 69 72 92 98 102 108 111 113
## [40,] 77 77 80 92 96 104 110 112 114
## [41,] 87 88 92 95 101 110 118 117 119
## [42,] 98 100 103 106 113 121 122 121 131
## [43,] 107 108 110 113 119 128 133 141 150
## [44,] 113 114 116 118 120 135 146 157 170
## [45,] 118 120 120 121 124 138 151 164 177
## [46,] 121 121 121 122 127 142 150 161 168
## [47,] 128 126 125 123 126 138 146 154 161
## [48,] 134 130 127 124 124 132 139 146 153
## [49,] 139 134 128 124 122 127 133 141 148
## [50,] 144 136 128 121 121 121 124 132 139
## [51,] 147 138 129 121 121 121 121 125 132
## [52,] 152 142 132 121 121 121 121 121 127
## [53,] 158 147 137 128 121 121 121 121 121
## [54,] 164 154 143 128 121 121 121 121 121
## [55,] 173 162 150 129 121 121 121 121 121
## [56,] 188 177 164 141 121 121 121 121 121
## [57,] 205 192 182 152 121 121 121 121 121
## [58,] 221 204 184 162 121 121 121 121 121
## [59,] 243 224 198 166 131 121 122 121 121
## [60,] 243 243 204 167 121 126 122 122 121
## [61,] 211 211 200 166 121 121 122 122 122
## [62,] 193 182 182 151 121 121 121 121 122
## [63,] 184 173 154 130 123 122 122 121 121
## [64,] 155 150 135 123 122 121 122 121 121
## [65,] 130 127 122 123 122 122 121 121 152
## [66,] 125 122 121 122 122 121 121 182 170
## [67,] 122 121 121 121 121 121 128 151 182
## [68,] 121 121 121 121 121 121 121 151 182
## [69,] 121 121 121 121 121 121 125 129 162
## [70,] 121 121 121 121 121 121 142 121 162
## [71,] 121 121 121 139 145 162 182 182 182
## [72,] 121 152 164 170 175 191 199 205 205
## [73,] 182 167 182 188 199 217 226 231 243
## [74,] 180 181 181 195 207 228 243 243 242
## [75,] 181 182 182 182 185 182 213 243 243
## [76,] 182 182 181 182 182 183 182 209 233
## [77,] 182 169 172 178 181 182 191 195 227
## [78,] 154 154 158 168 176 182 182 184 184
## [79,] 138 140 142 156 169 182 182 182 182
## [80,] 124 122 121 132 151 176 182 182 182
## [81,] 121 121 121 121 121 169 182 182 182
## [82,] 121 121 121 121 162 182 179 182 182
## [83,] 121 121 121 146 170 179 172 169 170
## [,920] [,921] [,922] [,923] [,924] [,925] [,926] [,927] [,928]
## [1,] 137 145 152 159 163 168 173 177 179
## [2,] 139 148 158 167 172 177 180 184 186
## [3,] 145 156 167 173 182 188 190 190 192
## [4,] 149 161 170 176 181 184 186 187 188
## [5,] 156 167 172 175 177 180 182 183 184
## [6,] 148 160 165 167 169 172 176 179 182
## [7,] 135 146 154 156 159 163 168 174 178
## [8,] 127 134 140 142 146 151 159 167 174
## [9,] 121 123 126 128 131 138 148 159 170
## [10,] 121 121 121 122 123 129 139 149 160
## [11,] 121 121 121 121 121 125 133 141 150
## [12,] 121 121 121 121 121 124 129 133 141
## [13,] 121 121 121 121 121 121 121 121 130
## [14,] 121 121 121 121 121 121 121 121 121
## [15,] 121 121 121 121 121 121 121 121 121
## [16,] 132 127 121 121 121 121 121 121 121
## [17,] 160 157 152 135 125 121 121 121 121
## [18,] 177 182 168 151 131 122 121 121 121
## [19,] 182 181 182 160 132 122 121 121 121
## [20,] 182 182 182 160 132 121 121 121 121
## [21,] 182 182 182 155 125 122 122 121 121
## [22,] 182 182 182 154 128 121 121 121 121
## [23,] 182 182 182 153 125 122 122 122 121
## [24,] 182 178 159 143 126 123 122 122 121
## [25,] 182 172 155 125 122 122 122 122 122
## [26,] 182 182 164 134 122 121 122 122 121
## [27,] 182 182 182 149 121 121 122 122 121
## [28,] 161 169 170 153 124 122 122 122 121
## [29,] 137 136 133 121 125 122 122 122 121
## [30,] 121 124 121 122 121 122 122 122 121
## [31,] 121 121 121 121 121 121 121 121 121
## [32,] 120 121 121 121 121 121 121 121 121
## [33,] 119 120 120 120 121 121 121 121 121
## [34,] 118 119 119 120 120 121 121 121 121
## [35,] 118 118 119 119 120 121 121 121 121
## [36,] 117 118 118 119 120 120 121 121 121
## [37,] 116 117 118 119 120 120 121 121 121
## [38,] 116 117 118 119 120 120 121 121 121
## [39,] 115 117 118 120 120 121 121 121 121
## [40,] 116 118 120 121 121 121 121 121 121
## [41,] 120 120 121 121 121 124 121 121 121
## [42,] 136 138 127 121 121 136 134 121 149
## [43,] 158 163 167 142 149 160 169 163 166
## [44,] 182 182 181 182 176 182 180 182 182
## [45,] 181 182 182 182 182 186 192 196 199
## [46,] 175 182 182 182 186 195 203 211 221
## [47,] 168 174 181 182 191 202 214 223 238
## [48,] 160 166 174 182 191 205 222 238 242
## [49,] 154 164 173 178 182 198 220 243 243
## [50,] 147 156 166 172 178 182 205 219 236
## [51,] 140 150 160 167 174 182 192 198 214
## [52,] 133 143 153 160 167 173 178 181 192
## [53,] 126 135 145 152 159 166 169 174 179
## [54,] 121 127 136 144 151 158 162 167 174
## [55,] 121 121 127 136 143 150 155 161 168
## [56,] 121 121 121 128 135 142 149 157 166
## [57,] 121 121 121 121 127 135 143 153 163
## [58,] 121 121 121 121 121 131 139 150 161
## [59,] 121 121 121 121 123 128 134 146 158
## [60,] 122 122 121 121 121 127 129 142 154
## [61,] 123 122 122 121 121 121 123 136 148
## [62,] 124 122 122 121 121 121 121 130 140
## [63,] 127 122 122 121 121 121 121 123 132
## [64,] 131 121 121 121 121 121 121 121 121
## [65,] 183 192 187 167 162 152 131 121 121
## [66,] 200 221 209 206 199 190 182 146 121
## [67,] 220 240 235 234 223 211 199 180 171
## [68,] 223 243 242 245 243 231 214 202 190
## [69,] 198 243 243 247 248 243 228 217 205
## [70,] 192 243 243 254 260 259 250 237 225
## [71,] 179 223 243 263 277 284 270 252 243
## [72,] 209 233 253 278 297 302 288 265 255
## [73,] 243 259 284 304 296 303 297 277 265
## [74,] 259 275 295 302 303 303 302 288 274
## [75,] 252 268 281 292 304 304 304 304 287
## [76,] 243 255 265 280 296 304 304 304 298
## [77,] 242 243 243 259 275 292 304 304 304
## [78,] 213 225 233 240 252 276 299 304 304
## [79,] 183 182 211 230 243 255 267 284 304
## [80,] 182 194 200 219 243 243 243 243 243
## [81,] 182 186 189 192 199 225 234 240 243
## [82,] 180 181 182 182 182 195 226 239 243
## [83,] 176 181 182 182 182 199 217 234 243
## [,929] [,930] [,931] [,932] [,933] [,934] [,935] [,936] [,937]
## [1,] 179 179 179 180 182 186 189 187 180
## [2,] 186 188 187 186 189 193 195 192 185
## [3,] 194 194 192 191 194 198 199 196 189
## [4,] 190 192 192 192 194 197 197 194 186
## [5,] 186 188 189 192 195 196 194 191 187
## [6,] 183 185 188 195 201 201 196 191 188
## [7,] 181 185 193 201 210 207 200 193 189
## [8,] 179 188 201 214 222 215 205 196 190
## [9,] 175 188 214 230 236 229 210 196 188
## [10,] 168 179 205 225 235 232 208 194 187
## [11,] 160 174 191 217 229 220 208 195 187
## [12,] 150 160 173 191 205 204 200 182 186
## [13,] 138 148 161 174 182 188 188 182 182
## [14,] 126 135 149 163 173 182 184 184 182
## [15,] 121 121 136 151 161 171 182 182 181
## [16,] 121 121 126 142 152 160 169 182 175
## [17,] 121 121 121 126 137 141 147 145 158
## [18,] 121 121 121 121 121 121 121 121 140
## [19,] 121 121 121 121 121 121 121 121 127
## [20,] 121 121 121 121 121 121 121 121 124
## [21,] 121 121 121 121 121 121 121 121 121
## [22,] 121 121 121 121 121 121 121 121 121
## [23,] 121 121 121 121 121 121 121 121 121
## [24,] 121 121 121 121 121 121 121 121 121
## [25,] 121 121 121 121 121 121 121 121 121
## [26,] 121 121 121 121 121 121 121 121 121
## [27,] 121 121 121 121 121 121 121 121 121
## [28,] 121 121 121 121 121 121 121 121 121
## [29,] 121 121 121 121 121 121 121 121 121
## [30,] 121 121 121 121 121 121 121 121 121
## [31,] 121 121 121 121 121 121 121 121 121
## [32,] 121 121 121 121 121 121 121 121 121
## [33,] 121 121 121 121 121 121 121 121 121
## [34,] 121 121 121 121 121 121 121 121 121
## [35,] 121 121 121 121 121 121 121 121 121
## [36,] 121 121 121 121 121 121 121 121 121
## [37,] 121 121 121 121 121 121 121 121 121
## [38,] 121 121 121 121 121 121 121 121 121
## [39,] 122 122 121 121 121 121 121 121 121
## [40,] 125 124 121 121 121 121 121 121 121
## [41,] 132 130 126 123 121 121 121 121 121
## [42,] 140 137 133 128 121 121 121 121 121
## [43,] 165 151 145 140 129 121 135 133 121
## [44,] 182 171 164 164 158 161 163 182 163
## [45,] 192 186 180 187 188 188 188 188 185
## [46,] 216 205 206 204 204 203 204 205 201
## [47,] 230 218 218 219 216 214 214 215 214
## [48,] 243 237 237 237 232 230 229 231 236
## [49,] 243 243 243 243 243 241 239 243 241
## [50,] 243 243 243 243 242 242 242 243 243
## [51,] 233 243 243 237 240 242 243 243 243
## [52,] 212 228 226 230 234 241 243 243 243
## [53,] 182 200 210 220 231 242 243 243 243
## [54,] 181 186 191 207 224 243 243 243 243
## [55,] 176 179 182 182 202 236 243 243 243
## [56,] 172 177 181 182 194 227 241 243 243
## [57,] 170 176 182 184 202 233 243 250 265
## [58,] 168 175 182 186 202 225 243 255 275
## [59,] 166 174 182 189 199 218 235 243 266
## [60,] 163 172 182 188 196 212 231 243 253
## [61,] 156 165 172 179 186 205 228 241 249
## [62,] 149 157 165 172 178 194 224 243 250
## [63,] 140 149 159 167 179 194 213 227 239
## [64,] 132 143 153 163 175 182 202 217 229
## [65,] 124 140 151 161 173 182 195 210 224
## [66,] 141 144 155 163 177 186 197 211 225
## [67,] 162 162 164 168 176 182 200 216 232
## [68,] 182 178 175 175 178 182 197 219 243
## [69,] 193 182 182 180 180 181 182 213 228
## [70,] 212 208 197 191 184 182 182 204 222
## [71,] 231 229 218 215 202 182 202 208 222
## [72,] 247 243 237 236 227 219 220 227 237
## [73,] 254 245 244 243 243 237 238 243 241
## [74,] 257 243 243 243 243 243 243 243 243
## [75,] 263 243 243 243 243 243 243 243 243
## [76,] 272 243 243 243 243 243 243 243 243
## [77,] 280 243 243 243 243 243 243 243 243
## [78,] 293 267 243 243 241 243 243 243 243
## [79,] 277 261 254 243 231 228 237 243 243
## [80,] 269 260 251 243 216 203 215 226 238
## [81,] 243 247 248 245 192 186 190 206 220
## [82,] 243 243 243 244 243 182 185 182 198
## [83,] 243 243 243 243 243 196 182 183 182
## [,938] [,939] [,940] [,941] [,942] [,943] [,944] [,945] [,946]
## [1,] 170 158 147 138 131 130 132 137 140
## [2,] 173 159 147 139 134 134 140 146 150
## [3,] 172 156 144 141 137 143 151 156 159
## [4,] 173 158 150 154 158 158 163 167 164
## [5,] 180 174 167 173 179 176 176 175 169
## [6,] 185 182 187 193 201 193 188 181 171
## [7,] 189 192 202 214 218 211 200 187 173
## [8,] 191 200 213 221 226 218 207 192 175
## [9,] 191 197 204 214 228 223 205 186 171
## [10,] 187 190 194 203 209 200 187 174 161
## [11,] 184 184 187 195 212 199 186 175 163
## [12,] 183 182 182 197 226 210 187 179 177
## [13,] 182 182 182 182 243 243 211 203 192
## [14,] 181 182 182 182 243 243 227 224 210
## [15,] 180 182 182 206 232 243 242 243 235
## [16,] 178 182 182 194 210 225 243 243 234
## [17,] 167 174 179 182 190 204 215 232 240
## [18,] 156 164 172 182 182 182 185 204 222
## [19,] 144 152 159 167 176 179 180 182 193
## [20,] 134 140 143 153 160 167 174 179 181
## [21,] 125 126 127 137 149 161 171 178 181
## [22,] 121 121 121 121 139 158 173 179 182
## [23,] 121 121 121 128 140 162 176 182 197
## [24,] 121 121 125 138 151 173 181 182 187
## [25,] 121 121 128 139 152 174 182 180 182
## [26,] 121 121 129 138 149 168 176 178 181
## [27,] 121 121 121 130 140 156 165 174 182
## [28,] 121 121 121 121 126 145 151 158 164
## [29,] 121 121 121 121 127 132 135 143 152
## [30,] 121 121 121 121 121 123 122 127 139
## [31,] 121 121 121 121 121 121 121 121 129
## [32,] 121 121 121 121 121 121 121 124 124
## [33,] 121 121 121 121 121 121 121 121 121
## [34,] 121 121 121 121 121 121 121 121 121
## [35,] 121 121 121 121 121 121 121 121 121
## [36,] 121 121 121 121 121 121 121 121 121
## [37,] 121 121 121 121 121 121 121 121 121
## [38,] 121 121 121 121 121 121 121 121 121
## [39,] 121 121 121 121 121 121 121 121 121
## [40,] 121 121 121 121 121 121 121 121 121
## [41,] 121 121 121 121 121 121 121 121 121
## [42,] 121 121 129 121 126 121 121 121 121
## [43,] 131 145 156 171 158 131 121 121 121
## [44,] 155 165 182 181 183 161 148 121 131
## [45,] 178 176 182 186 183 182 182 182 152
## [46,] 192 182 188 188 184 183 182 182 182
## [47,] 205 201 198 192 185 183 182 182 182
## [48,] 224 214 207 194 184 183 182 182 182
## [49,] 243 229 221 194 184 182 182 182 182
## [50,] 243 243 243 223 189 182 182 182 182
## [51,] 243 243 243 243 202 182 182 182 182
## [52,] 243 243 243 236 192 186 182 182 182
## [53,] 243 243 243 231 204 182 198 195 188
## [54,] 247 249 247 236 220 221 219 214 208
## [55,] 256 265 267 251 243 243 243 232 227
## [56,] 264 277 284 279 274 264 252 243 240
## [57,] 282 297 303 304 304 295 280 265 248
## [58,] 304 299 304 304 304 304 304 289 256
## [59,] 284 291 291 284 274 274 289 278 253
## [60,] 274 267 261 243 248 244 243 243 243
## [61,] 265 260 252 245 243 244 240 233 230
## [62,] 258 253 249 247 246 243 235 223 206
## [63,] 247 247 248 249 249 246 244 235 210
## [64,] 238 243 248 253 252 249 246 243 215
## [65,] 235 243 256 268 263 255 247 243 226
## [66,] 236 243 278 304 283 264 248 243 237
## [67,] 243 261 290 299 304 270 243 243 243
## [68,] 249 263 293 304 304 287 286 282 289
## [69,] 243 259 293 304 304 304 304 304 303
## [70,] 235 258 286 299 304 304 304 304 304
## [71,] 235 255 277 285 289 297 304 304 304
## [72,] 242 257 267 273 275 278 285 294 302
## [73,] 243 250 256 258 259 258 261 270 285
## [74,] 243 243 246 246 246 244 243 250 266
## [75,] 243 243 243 243 243 242 242 242 249
## [76,] 243 243 243 243 243 242 240 240 243
## [77,] 243 243 243 243 243 241 238 232 234
## [78,] 243 243 243 243 243 240 235 223 222
## [79,] 243 243 243 243 243 237 228 205 207
## [80,] 243 243 243 243 243 243 227 194 182
## [81,] 238 243 243 243 243 243 243 197 182
## [82,] 221 243 243 243 243 243 243 203 182
## [83,] 199 224 238 243 243 243 243 213 182
## [,947] [,948] [,949] [,950] [,951] [,952] [,953] [,954] [,955]
## [1,] 138 133 125 117 109 104 99 97 98
## [2,] 147 140 132 124 116 111 106 103 102
## [3,] 154 145 137 129 122 115 109 105 104
## [4,] 154 143 134 128 122 117 111 108 107
## [5,] 159 147 136 128 122 117 113 111 110
## [6,] 160 148 137 129 123 119 116 115 114
## [7,] 158 145 135 128 123 121 120 119 118
## [8,] 157 143 133 126 123 121 121 121 123
## [9,] 155 138 128 124 122 121 121 123 131
## [10,] 145 135 128 124 122 121 121 131 143
## [11,] 151 137 131 124 122 121 121 142 162
## [12,] 165 147 135 121 122 121 121 162 182
## [13,] 182 164 152 140 125 134 156 182 180
## [14,] 194 182 170 158 148 154 170 173 182
## [15,] 214 196 182 176 169 171 177 179 180
## [16,] 231 209 182 182 185 178 182 181 181
## [17,] 243 234 213 206 204 202 196 193 187
## [18,] 243 237 240 240 235 243 227 223 210
## [19,] 203 219 231 241 243 242 245 244 235
## [20,] 182 195 217 235 243 243 253 250 243
## [21,] 182 195 215 236 255 272 286 269 252
## [22,] 206 223 243 250 274 304 297 304 283
## [23,] 211 243 238 250 274 286 304 302 304
## [24,] 202 220 234 244 263 276 301 293 279
## [25,] 182 207 215 228 243 243 243 270 263
## [26,] 182 195 201 208 217 234 248 246 249
## [27,] 180 182 186 188 182 203 226 243 245
## [28,] 171 177 182 183 183 182 201 223 243
## [29,] 160 168 179 182 180 181 182 200 221
## [30,] 148 157 170 182 177 177 179 182 192
## [31,] 137 146 159 166 173 173 177 182 191
## [32,] 126 134 146 152 155 161 168 176 182
## [33,] 121 121 132 137 138 148 159 170 179
## [34,] 121 121 123 121 121 137 155 169 182
## [35,] 121 121 121 121 121 121 145 165 182
## [36,] 121 121 121 121 121 121 141 162 182
## [37,] 121 121 121 121 121 121 141 162 182
## [38,] 121 121 121 121 121 121 141 161 182
## [39,] 121 121 121 121 121 126 138 156 182
## [40,] 121 121 121 121 121 121 121 140 172
## [41,] 121 121 121 121 121 121 121 121 149
## [42,] 121 121 121 121 121 121 121 121 129
## [43,] 121 121 121 121 121 121 121 121 121
## [44,] 121 121 121 121 121 121 121 121 121
## [45,] 145 121 121 121 121 121 121 121 121
## [46,] 182 150 121 121 121 121 121 121 121
## [47,] 182 175 143 121 121 121 121 121 121
## [48,] 182 182 173 141 121 121 121 121 121
## [49,] 182 182 182 153 121 121 121 121 121
## [50,] 182 179 173 155 136 121 121 121 121
## [51,] 182 174 161 148 133 121 121 121 121
## [52,] 180 169 163 150 130 124 121 129 127
## [53,] 182 180 182 167 149 144 145 150 156
## [54,] 196 186 181 182 161 158 161 168 182
## [55,] 221 205 187 178 177 178 177 180 156
## [56,] 237 218 206 197 189 183 182 182 161
## [57,] 244 237 223 210 198 183 183 182 166
## [58,] 247 244 243 228 213 198 182 182 172
## [59,] 246 244 243 243 236 216 194 182 179
## [60,] 246 244 244 243 243 235 199 182 182
## [61,] 217 244 243 243 243 225 193 184 183
## [62,] 185 182 182 243 202 182 184 183 182
## [63,] 186 183 199 187 183 185 183 183 183
## [64,] 196 182 182 186 182 182 183 182 182
## [65,] 209 207 192 182 188 182 182 182 182
## [66,] 230 234 219 212 202 194 184 182 182
## [67,] 243 245 243 229 218 207 190 182 182
## [68,] 280 259 248 244 237 224 210 187 182
## [69,] 304 270 250 243 243 243 231 198 182
## [70,] 294 253 243 245 243 244 239 206 182
## [71,] 304 304 304 274 262 247 243 214 182
## [72,] 304 304 304 304 282 254 239 223 195
## [73,] 298 304 304 304 294 275 243 243 224
## [74,] 280 290 299 304 304 299 279 258 246
## [75,] 264 274 284 294 304 304 304 273 254
## [76,] 253 263 274 283 292 304 281 273 253
## [77,] 240 248 258 265 272 271 263 250 242
## [78,] 229 237 243 247 250 247 243 242 234
## [79,] 217 227 239 243 244 244 241 235 227
## [80,] 199 213 231 243 243 243 239 230 221
## [81,] 182 192 229 243 243 243 240 230 217
## [82,] 182 182 243 237 242 243 243 236 217
## [83,] 182 192 213 243 242 243 243 232 211
## [,956] [,957] [,958] [,959] [,960] [,961] [,962] [,963] [,964]
## [1,] 100 102 105 108 110 111 113 117 122
## [2,] 102 103 105 106 107 108 111 115 122
## [3,] 104 104 105 105 105 107 110 115 122
## [4,] 107 107 108 108 107 108 111 115 121
## [5,] 111 111 112 111 110 111 113 116 120
## [6,] 115 116 116 115 114 115 116 118 120
## [7,] 119 124 125 123 120 119 119 120 121
## [8,] 125 133 134 132 126 124 124 124 123
## [9,] 131 144 145 142 133 132 134 131 127
## [10,] 157 162 161 156 148 144 147 141 133
## [11,] 170 175 175 171 165 160 161 151 140
## [12,] 178 183 186 182 182 177 176 166 144
## [13,] 182 186 198 200 200 194 188 177 166
## [14,] 182 190 214 218 219 210 203 191 181
## [15,] 182 195 236 237 237 225 217 205 194
## [16,] 182 196 229 243 243 236 229 219 207
## [17,] 182 204 238 242 243 242 239 232 221
## [18,] 210 220 243 243 242 243 243 240 232
## [19,] 231 235 242 243 243 243 243 243 241
## [20,] 243 243 243 242 243 243 243 243 243
## [21,] 243 244 243 243 243 243 243 241 242
## [22,] 264 245 243 241 243 243 243 235 239
## [23,] 271 248 239 235 236 243 216 220 232
## [24,] 258 242 233 223 215 202 192 189 213
## [25,] 250 236 229 215 199 182 188 183 192
## [26,] 247 244 238 217 195 185 183 183 182
## [27,] 244 244 243 223 182 184 182 183 182
## [28,] 243 243 243 243 182 182 183 182 182
## [29,] 243 243 243 243 202 182 183 183 182
## [30,] 228 243 243 233 196 186 184 182 182
## [31,] 213 243 243 243 223 182 183 183 182
## [32,] 209 243 243 243 243 208 182 183 182
## [33,] 196 232 243 243 243 220 184 182 182
## [34,] 193 206 218 243 243 243 182 182 181
## [35,] 183 186 187 182 213 208 191 182 181
## [36,] 182 182 183 182 182 182 182 180 180
## [37,] 182 182 182 181 179 179 176 177 178
## [38,] 182 182 182 177 173 171 171 174 176
## [39,] 182 182 182 173 165 164 167 170 174
## [40,] 182 182 182 168 156 158 161 166 171
## [41,] 174 182 182 161 145 144 147 156 167
## [42,] 151 165 182 154 134 121 133 141 155
## [43,] 136 147 142 142 121 123 121 131 142
## [44,] 121 124 126 122 123 122 122 121 131
## [45,] 121 121 121 121 121 121 121 121 121
## [46,] 121 121 121 121 121 121 121 121 121
## [47,] 121 121 121 121 121 121 121 121 121
## [48,] 121 121 121 121 121 121 133 152 172
## [49,] 121 121 121 121 121 121 152 182 178
## [50,] 121 121 121 121 121 121 151 182 182
## [51,] 121 121 121 121 121 121 150 182 182
## [52,] 121 121 121 121 121 121 145 165 182
## [53,] 133 121 121 121 121 121 135 162 174
## [54,] 144 130 121 121 121 121 121 163 175
## [55,] 148 140 132 125 121 121 142 168 177
## [56,] 152 146 141 135 132 135 167 177 180
## [57,] 160 155 151 147 146 147 172 179 181
## [58,] 168 164 162 159 160 160 176 180 181
## [59,] 177 174 173 172 175 171 178 180 181
## [60,] 182 181 180 180 181 182 179 180 181
## [61,] 183 182 182 182 182 182 182 182 182
## [62,] 183 182 182 182 182 183 182 182 182
## [63,] 182 182 182 182 182 186 185 182 182
## [64,] 182 182 182 185 190 194 197 190 182
## [65,] 182 182 182 190 204 214 222 218 215
## [66,] 182 182 182 205 226 237 243 245 238
## [67,] 182 182 197 215 243 241 250 253 253
## [68,] 182 182 197 218 238 243 257 269 280
## [69,] 182 182 195 215 234 243 263 281 304
## [70,] 182 182 196 217 235 243 260 276 291
## [71,] 182 182 201 225 243 251 260 272 286
## [72,] 182 193 208 234 242 252 260 266 277
## [73,] 216 211 221 236 243 248 252 255 264
## [74,] 230 229 227 238 243 243 245 243 253
## [75,] 243 240 238 241 243 243 243 237 241
## [76,] 243 242 242 243 243 243 243 225 232
## [77,] 242 240 241 243 243 223 191 206 222
## [78,] 233 230 230 243 202 182 189 182 213
## [79,] 220 214 206 191 183 185 183 182 190
## [80,] 210 201 187 179 178 179 180 181 182
## [81,] 205 194 179 170 173 175 177 180 182
## [82,] 201 189 176 163 166 169 173 177 180
## [83,] 188 181 166 155 158 162 168 175 180
## [,965] [,966] [,967] [,968] [,969] [,970] [,971] [,972] [,973]
## [1,] 129 138 147 156 164 169 173 175 176
## [2,] 131 141 150 157 163 167 170 172 173
## [3,] 134 146 150 156 159 162 164 166 167
## [4,] 129 138 145 150 152 153 155 156 158
## [5,] 125 131 137 141 143 144 145 146 148
## [6,] 122 126 130 132 134 135 136 137 139
## [7,] 121 122 124 125 126 127 128 129 130
## [8,] 122 121 121 122 122 123 123 124 124
## [9,] 124 122 121 121 121 121 121 121 121
## [10,] 127 123 121 121 121 121 121 121 121
## [11,] 130 125 123 122 121 121 121 121 121
## [12,] 131 132 126 124 123 122 121 121 121
## [13,] 153 142 137 132 127 124 123 122 121
## [14,] 173 162 152 143 134 133 128 125 123
## [15,] 186 177 167 160 156 145 139 131 128
## [16,] 195 188 181 175 172 162 154 147 135
## [17,] 210 202 196 189 184 174 168 164 156
## [18,] 224 217 211 202 193 185 180 178 172
## [19,] 236 231 225 217 203 195 191 188 183
## [20,] 242 241 236 229 219 209 203 199 193
## [21,] 243 243 242 238 232 223 216 211 204
## [22,] 243 243 243 243 243 238 230 225 216
## [23,] 243 243 243 243 243 243 243 243 232
## [24,] 229 243 236 231 234 241 243 243 243
## [25,] 211 216 218 216 219 227 243 243 243
## [26,] 189 199 201 202 203 208 210 218 228
## [27,] 182 182 187 188 185 182 182 195 207
## [28,] 182 182 182 183 183 182 182 182 188
## [29,] 182 182 182 182 182 182 182 182 191
## [30,] 182 182 182 182 182 182 182 182 188
## [31,] 182 182 182 182 182 182 182 182 182
## [32,] 182 182 182 182 182 182 182 182 182
## [33,] 182 182 182 182 182 182 182 182 182
## [34,] 181 181 181 181 182 182 182 182 182
## [35,] 181 181 181 181 181 182 182 182 182
## [36,] 180 181 181 181 182 182 182 182 187
## [37,] 179 180 181 182 182 183 185 188 194
## [38,] 178 180 181 182 182 184 188 193 203
## [39,] 177 180 182 182 182 185 191 198 208
## [40,] 176 182 182 182 182 188 191 195 211
## [41,] 173 182 182 182 182 182 182 182 207
## [42,] 163 171 178 180 181 181 182 182 182
## [43,] 151 162 168 175 179 181 182 182 182
## [44,] 140 154 162 171 178 180 182 182 182
## [45,] 129 146 156 168 177 181 182 182 182
## [46,] 132 145 157 171 181 183 183 182 182
## [47,] 155 165 168 178 183 188 189 188 182
## [48,] 180 182 182 182 186 193 199 201 202
## [49,] 182 181 182 182 188 200 210 217 221
## [50,] 182 182 182 182 191 210 224 236 235
## [51,] 182 182 182 182 182 226 243 239 243
## [52,] 182 182 182 182 213 243 239 242 242
## [53,] 178 181 182 190 212 243 243 243 243
## [54,] 177 179 182 192 209 222 243 210 182
## [55,] 179 180 182 182 189 204 200 197 182
## [56,] 180 181 182 182 182 182 187 182 184
## [57,] 181 182 182 182 182 182 182 183 182
## [58,] 182 182 182 182 182 182 182 182 182
## [59,] 182 182 182 182 182 182 182 182 182
## [60,] 182 182 182 182 182 182 182 182 182
## [61,] 182 187 182 182 182 182 182 182 182
## [62,] 182 200 199 195 189 182 182 182 182
## [63,] 182 212 213 209 202 192 182 182 182
## [64,] 199 235 236 227 223 210 200 189 182
## [65,] 222 237 243 243 243 228 214 200 185
## [66,] 235 239 243 256 255 248 236 221 208
## [67,] 243 243 243 272 274 265 255 238 229
## [68,] 286 279 274 295 297 285 279 265 253
## [69,] 301 304 304 304 304 304 304 304 304
## [70,] 304 304 304 304 304 304 304 304 304
## [71,] 304 304 304 304 304 304 304 304 304
## [72,] 293 304 303 304 304 304 304 304 280
## [73,] 277 287 299 303 304 304 304 295 270
## [74,] 267 280 290 301 304 304 304 277 259
## [75,] 249 266 284 302 303 304 285 259 251
## [76,] 240 243 274 288 304 282 274 249 243
## [77,] 240 249 264 273 275 268 257 246 243
## [78,] 243 249 255 256 259 256 249 245 243
## [79,] 222 243 244 241 246 248 246 235 223
## [80,] 198 222 222 228 234 243 244 215 197
## [81,] 197 205 201 206 212 217 216 192 186
## [82,] 184 187 182 187 188 182 186 190 183
## [83,] 182 182 184 182 184 182 183 182 185
## [,974] [,975] [,976] [,977] [,978] [,979] [,980] [,981] [,982]
## [1,] 178 179 180 182 185 188 191 193 194
## [2,] 174 175 177 180 183 187 190 192 192
## [3,] 168 169 172 176 180 184 188 190 190
## [4,] 159 159 163 169 175 180 184 186 186
## [5,] 149 149 154 162 169 176 181 183 183
## [6,] 139 141 147 156 165 173 179 182 182
## [7,] 131 134 143 153 164 173 179 182 182
## [8,] 126 131 141 152 163 172 178 181 182
## [9,] 123 128 138 150 162 171 177 181 182
## [10,] 122 127 137 148 160 170 177 180 182
## [11,] 121 125 134 145 157 167 176 180 183
## [12,] 121 123 131 144 157 169 176 180 183
## [13,] 121 121 127 140 153 166 175 180 182
## [14,] 122 121 124 134 147 160 172 179 182
## [15,] 124 123 122 130 143 157 170 178 181
## [16,] 132 128 125 133 146 158 169 177 181
## [17,] 145 138 134 143 154 164 172 178 180
## [18,] 160 151 146 153 162 170 175 179 181
## [19,] 172 163 159 162 168 173 177 180 182
## [20,] 183 175 170 169 172 175 178 181 182
## [21,] 194 187 179 176 177 178 179 182 182
## [22,] 207 199 185 181 181 181 181 182 183
## [23,] 223 217 204 182 188 182 182 182 187
## [24,] 238 236 233 221 209 207 197 198 198
## [25,] 243 243 243 243 231 229 217 224 220
## [26,] 236 241 243 243 243 243 237 238 235
## [27,] 218 229 239 243 243 243 243 243 243
## [28,] 206 219 236 243 243 243 243 243 243
## [29,] 195 208 226 243 243 243 243 243 243
## [30,] 192 201 216 233 243 243 243 243 243
## [31,] 182 188 200 226 239 243 243 243 243
## [32,] 182 186 196 217 231 239 243 243 243
## [33,] 182 182 187 211 229 242 242 243 243
## [34,] 182 182 182 209 232 243 243 243 243
## [35,] 182 186 209 225 238 241 242 243 243
## [36,] 189 201 221 237 239 239 243 243 243
## [37,] 200 215 231 243 242 243 243 243 243
## [38,] 212 226 243 241 243 243 243 243 243
## [39,] 221 232 243 243 242 243 243 244 245
## [40,] 232 243 241 242 243 243 243 245 250
## [41,] 243 243 242 243 241 243 243 247 258
## [42,] 193 208 213 223 235 243 243 258 288
## [43,] 182 182 182 182 222 243 239 274 304
## [44,] 182 182 182 187 201 212 226 240 274
## [45,] 182 182 182 182 182 197 210 234 243
## [46,] 182 182 182 182 182 182 190 216 239
## [47,] 188 190 182 182 182 182 182 203 234
## [48,] 210 214 208 202 196 191 192 224 234
## [49,] 230 243 230 221 216 214 214 228 234
## [50,] 240 240 243 232 229 228 226 231 235
## [51,] 242 243 243 243 244 243 239 236 238
## [52,] 243 243 245 247 248 243 243 242 242
## [53,] 241 243 248 255 265 267 248 243 243
## [54,] 220 243 252 269 289 304 276 243 267
## [55,] 190 224 243 265 292 302 304 304 294
## [56,] 182 208 226 243 262 276 304 304 281
## [57,] 182 201 212 222 231 238 257 255 261
## [58,] 182 191 197 202 201 215 218 223 243
## [59,] 182 182 184 185 183 190 188 184 182
## [60,] 182 182 182 182 182 183 182 182 183
## [61,] 182 182 182 182 182 182 182 182 182
## [62,] 182 182 182 182 182 182 182 182 182
## [63,] 182 182 182 182 182 182 182 182 182
## [64,] 182 182 182 182 182 182 182 182 182
## [65,] 182 182 182 182 182 182 182 182 182
## [66,] 199 193 192 187 182 182 182 182 182
## [67,] 222 219 223 210 198 182 182 182 182
## [68,] 240 240 242 235 231 197 182 182 182
## [69,] 279 250 243 243 227 216 204 200 202
## [70,] 304 266 248 244 239 231 218 218 222
## [71,] 277 263 243 245 243 242 237 239 243
## [72,] 268 243 250 243 244 243 243 244 243
## [73,] 256 251 245 244 243 243 247 250 252
## [74,] 251 247 245 245 243 243 251 258 266
## [75,] 249 246 245 244 243 243 255 268 284
## [76,] 245 245 243 243 243 243 255 274 304
## [77,] 243 243 238 242 243 243 243 252 259
## [78,] 243 228 232 241 243 243 243 243 243
## [79,] 218 216 224 243 243 243 243 243 243
## [80,] 182 182 205 228 243 243 243 243 243
## [81,] 184 182 194 218 239 243 243 243 243
## [82,] 182 191 202 218 234 243 243 243 243
## [83,] 182 197 211 222 239 242 243 243 243
## [,983] [,984] [,985] [,986] [,987] [,988] [,989] [,990] [,991]
## [1,] 194 193 193 193 193 192 191 191 191
## [2,] 191 190 190 191 191 190 188 187 187
## [3,] 188 187 188 190 190 188 186 185 185
## [4,] 185 185 185 187 187 185 184 183 183
## [5,] 183 183 183 184 185 184 183 182 182
## [6,] 182 183 183 184 185 185 184 183 183
## [7,] 182 184 185 187 189 189 187 186 186
## [8,] 183 186 189 193 196 196 192 190 191
## [9,] 184 189 195 201 205 206 200 196 197
## [10,] 186 194 202 211 213 215 208 201 203
## [11,] 188 199 210 220 221 223 213 204 206
## [12,] 188 195 205 223 231 223 207 199 201
## [13,] 184 187 193 192 200 208 197 192 193
## [14,] 182 183 184 187 187 192 189 185 185
## [15,] 182 182 182 182 182 184 183 182 182
## [16,] 182 182 182 182 182 182 182 182 182
## [17,] 182 182 182 182 182 182 182 182 182
## [18,] 182 182 182 182 182 182 182 183 186
## [19,] 182 182 182 182 182 182 183 189 196
## [20,] 182 182 182 182 182 182 187 198 208
## [21,] 183 182 182 182 182 183 194 210 221
## [22,] 184 182 182 182 182 182 193 226 241
## [23,] 188 182 182 182 182 182 182 224 243
## [24,] 201 195 192 191 187 182 197 228 240
## [25,] 218 211 212 210 204 205 218 243 259
## [26,] 237 227 227 228 227 230 242 254 273
## [27,] 243 243 240 243 243 243 252 273 296
## [28,] 243 243 243 242 243 243 251 275 286
## [29,] 243 243 243 243 243 243 248 262 270
## [30,] 243 243 243 243 243 243 243 246 248
## [31,] 243 243 243 243 243 243 243 243 243
## [32,] 243 243 243 243 243 243 243 243 243
## [33,] 243 243 243 243 243 243 246 249 254
## [34,] 243 243 243 243 243 246 254 267 280
## [35,] 243 243 243 243 243 247 257 266 277
## [36,] 243 243 243 243 243 243 243 255 260
## [37,] 243 243 243 243 243 243 243 243 243
## [38,] 243 243 243 243 243 243 243 243 243
## [39,] 243 243 243 243 243 243 243 243 243
## [40,] 249 245 243 243 243 243 243 243 243
## [41,] 259 252 243 243 243 243 243 243 243
## [42,] 289 271 249 243 243 243 243 243 243
## [43,] 304 304 262 243 243 243 243 243 243
## [44,] 284 269 257 250 245 243 243 243 243
## [45,] 243 249 247 245 245 243 243 243 243
## [46,] 242 243 243 243 243 243 244 244 244
## [47,] 238 241 242 243 243 243 245 245 245
## [48,] 237 240 242 242 243 243 245 246 246
## [49,] 237 239 242 242 243 248 251 252 251
## [50,] 238 241 243 243 251 263 267 265 262
## [51,] 242 243 243 243 260 293 294 285 279
## [52,] 243 245 244 243 294 304 304 304 295
## [53,] 250 249 247 269 296 294 291 291 291
## [54,] 261 255 249 257 263 267 260 267 273
## [55,] 270 257 249 244 238 237 240 249 254
## [56,] 273 253 243 228 224 220 225 232 243
## [57,] 250 226 212 208 206 201 206 209 216
## [58,] 205 182 182 191 189 182 187 182 195
## [59,] 182 188 183 182 182 184 182 184 182
## [60,] 182 182 183 182 182 182 182 182 182
## [61,] 182 182 182 182 182 182 182 182 182
## [62,] 182 182 182 182 182 182 182 182 182
## [63,] 182 182 182 182 182 193 202 202 209
## [64,] 182 182 182 182 197 210 232 233 235
## [65,] 182 182 182 182 199 216 227 243 243
## [66,] 182 182 182 182 192 205 216 228 239
## [67,] 182 182 182 182 182 192 202 217 228
## [68,] 182 182 182 182 182 182 187 207 220
## [69,] 198 196 186 182 182 182 200 205 217
## [70,] 214 211 203 202 202 209 210 219 222
## [71,] 236 231 227 233 233 235 235 236 234
## [72,] 243 243 242 255 263 263 259 252 243
## [73,] 251 251 262 281 293 294 283 277 270
## [74,] 272 275 287 304 300 304 304 304 289
## [75,] 296 298 301 302 304 304 304 304 303
## [76,] 301 304 304 303 304 304 304 304 304
## [77,] 285 289 288 296 296 297 301 304 298
## [78,] 243 243 252 277 277 281 287 284 284
## [79,] 243 243 248 261 264 266 269 273 275
## [80,] 243 243 251 251 251 251 251 255 260
## [81,] 243 243 243 246 246 246 246 243 244
## [82,] 243 243 243 243 243 243 243 243 243
## [83,] 243 243 243 243 243 243 243 243 242
## [,992] [,993] [,994] [,995] [,996] [,997] [,998] [,999] [,1000]
## [1,] 191 190 189 190 196 206 205 196 192
## [2,] 187 188 188 192 206 230 240 229 218
## [3,] 185 187 188 196 221 260 268 257 244
## [4,] 184 186 187 195 220 259 273 265 253
## [5,] 184 186 188 197 221 254 263 259 256
## [6,] 186 189 193 197 211 220 230 243 246
## [7,] 189 195 201 205 210 217 223 230 237
## [8,] 196 204 211 215 218 221 224 228 230
## [9,] 204 213 220 225 227 229 230 232 233
## [10,] 212 220 227 232 235 236 237 238 238
## [11,] 214 223 231 236 239 240 241 242 242
## [12,] 208 220 231 237 241 242 243 243 243
## [13,] 199 210 222 233 239 242 243 243 243
## [14,] 190 201 214 228 237 241 243 243 243
## [15,] 183 192 208 225 236 240 242 243 243
## [16,] 182 185 195 214 228 237 241 243 243
## [17,] 183 183 187 199 218 231 239 242 243
## [18,] 188 186 185 199 217 230 238 242 243
## [19,] 200 192 198 208 219 230 239 242 243
## [20,] 213 213 218 223 229 236 241 243 243
## [21,] 228 232 239 240 240 241 242 242 243
## [22,] 243 248 258 258 250 243 243 243 243
## [23,] 242 259 273 274 266 254 243 243 243
## [24,] 254 272 288 289 284 273 261 249 243
## [25,] 274 288 304 304 302 291 280 267 256
## [26,] 289 297 298 304 304 304 292 278 269
## [27,] 302 304 303 303 298 304 302 296 290
## [28,] 304 304 304 304 283 289 296 298 300
## [29,] 276 281 274 250 268 278 285 292 299
## [30,] 243 243 249 244 257 268 279 288 299
## [31,] 244 243 243 247 247 258 270 280 296
## [32,] 243 246 243 252 245 243 255 260 274
## [33,] 260 259 243 260 245 244 243 243 251
## [34,] 304 304 304 268 245 244 243 243 243
## [35,] 295 304 304 270 244 243 243 243 243
## [36,] 274 275 272 253 243 243 243 243 243
## [37,] 259 255 254 243 243 243 243 243 243
## [38,] 243 243 243 243 243 243 243 243 243
## [39,] 243 243 243 243 243 243 243 243 243
## [40,] 243 243 243 243 243 243 243 253 274
## [41,] 243 243 243 243 243 243 243 243 304
## [42,] 243 243 243 243 243 243 246 274 297
## [43,] 243 243 243 243 243 243 252 274 291
## [44,] 243 243 243 243 243 243 256 276 299
## [45,] 243 243 243 243 243 243 243 276 292
## [46,] 243 243 243 243 243 243 243 272 295
## [47,] 243 243 243 243 243 243 243 294 302
## [48,] 243 243 243 243 243 243 275 304 304
## [49,] 248 243 243 243 252 270 284 300 304
## [50,] 259 252 243 267 272 282 292 304 302
## [51,] 274 275 276 294 297 299 302 295 302
## [52,] 291 293 304 301 304 304 281 285 289
## [53,] 290 294 297 297 293 278 263 267 276
## [54,] 275 277 275 274 266 256 243 252 264
## [55,] 257 258 257 254 248 244 244 243 255
## [56,] 243 243 243 243 232 236 239 242 249
## [57,] 221 221 228 223 223 229 235 239 247
## [58,] 200 200 205 202 210 217 226 238 245
## [59,] 188 185 182 182 194 204 217 233 243
## [60,] 182 183 183 182 182 188 208 227 239
## [61,] 182 182 182 182 190 199 203 223 239
## [62,] 189 190 191 200 202 210 217 228 241
## [63,] 211 213 212 215 217 221 226 233 239
## [64,] 235 236 228 229 230 230 232 236 242
## [65,] 243 243 243 243 243 239 239 240 243
## [66,] 243 243 243 243 243 243 247 251 265
## [67,] 238 243 243 243 243 243 258 270 286
## [68,] 232 242 243 243 243 260 267 283 304
## [69,] 234 243 243 256 269 278 288 295 313
## [70,] 233 241 243 272 289 304 304 304 345
## [71,] 238 254 273 294 302 302 304 316 351
## [72,] 250 271 286 292 304 303 304 320 339
## [73,] 271 280 289 296 300 304 304 309 314
## [74,] 289 293 295 299 304 302 304 304 304
## [75,] 301 304 304 304 304 304 304 304 304
## [76,] 304 304 304 304 304 304 304 304 304
## [77,] 302 304 304 304 304 304 304 304 304
## [78,] 293 301 304 304 304 304 304 304 304
## [79,] 287 298 302 304 304 304 304 304 304
## [80,] 281 301 303 304 304 304 304 304 298
## [81,] 263 286 304 304 304 304 295 289 282
## [82,] 248 268 281 296 304 287 279 273 266
## [83,] 243 255 259 269 269 263 262 259 253
## [,1001] [,1002] [,1003] [,1004] [,1005] [,1006] [,1007] [,1008]
## [1,] 185 184 185 189 193 196 199 200
## [2,] 208 202 199 200 200 200 201 202
## [3,] 232 220 214 212 210 209 206 205
## [4,] 242 232 228 224 222 219 214 211
## [5,] 248 240 237 234 231 227 220 215
## [6,] 243 241 241 238 235 230 222 214
## [7,] 236 236 236 234 232 228 221 213
## [8,] 232 232 231 229 227 224 218 211
## [9,] 233 232 230 226 222 219 214 208
## [10,] 238 236 231 225 219 214 209 205
## [11,] 241 238 230 221 214 209 207 208
## [12,] 243 239 226 214 208 209 212 218
## [13,] 243 240 229 223 219 220 221 232
## [14,] 243 243 238 233 230 230 232 237
## [15,] 243 243 243 241 238 239 240 241
## [16,] 243 243 243 243 243 243 243 241
## [17,] 243 243 243 244 246 245 244 240
## [18,] 243 243 245 251 253 249 246 243
## [19,] 243 244 251 261 266 255 252 246
## [20,] 243 246 261 276 281 273 262 257
## [21,] 243 248 274 286 293 290 281 275
## [22,] 243 243 261 282 297 303 299 296
## [23,] 243 243 249 270 287 300 304 304
## [24,] 243 243 243 260 286 304 303 304
## [25,] 243 243 243 260 287 297 302 303
## [26,] 268 271 280 285 298 300 301 302
## [27,] 291 300 304 302 303 304 304 304
## [28,] 301 303 303 304 304 304 304 304
## [29,] 302 304 304 304 304 304 304 304
## [30,] 304 304 304 304 304 304 304 304
## [31,] 304 304 304 304 304 304 304 299
## [32,] 290 304 304 304 304 304 304 293
## [33,] 271 290 304 293 288 293 304 263
## [34,] 253 266 270 267 256 243 243 213
## [35,] 243 249 252 243 243 182 232 216
## [36,] 243 243 229 182 190 204 209 204
## [37,] 243 243 217 202 182 182 195 190
## [38,] 243 243 224 213 210 200 192 187
## [39,] 243 243 234 228 229 225 216 205
## [40,] 256 249 243 242 252 249 237 226
## [41,] 295 279 272 280 280 278 293 253
## [42,] 304 304 300 303 304 310 316 287
## [43,] 302 304 304 304 304 311 307 304
## [44,] 303 303 304 304 294 288 301 304
## [45,] 304 304 304 304 274 243 268 275
## [46,] 304 304 304 304 275 243 248 253
## [47,] 303 304 304 304 284 253 243 245
## [48,] 304 303 304 304 304 268 239 216
## [49,] 304 304 304 304 287 269 236 210
## [50,] 304 304 304 304 294 270 250 225
## [51,] 300 302 304 304 295 276 254 243
## [52,] 289 291 291 285 278 265 249 228
## [53,] 275 277 274 268 258 247 245 233
## [54,] 263 263 263 259 243 244 244 243
## [55,] 260 263 267 271 270 244 243 251
## [56,] 264 273 282 293 304 267 270 279
## [57,] 264 276 288 304 300 300 295 304
## [58,] 258 271 286 299 304 304 304 303
## [59,] 252 261 280 291 299 304 304 304
## [60,] 243 248 274 287 297 303 304 304
## [61,] 243 256 270 284 297 303 304 304
## [62,] 243 253 269 285 301 304 304 306
## [63,] 242 243 268 286 296 304 304 308
## [64,] 249 262 274 288 301 304 304 307
## [65,] 262 275 288 304 303 303 304 304
## [66,] 274 285 299 304 304 304 304 304
## [67,] 288 294 304 304 304 304 304 304
## [68,] 297 299 304 306 305 304 304 304
## [69,] 320 318 314 311 306 304 304 304
## [70,] 365 350 339 325 312 304 304 304
## [71,] 362 365 359 339 319 307 304 302
## [72,] 365 365 347 341 319 304 301 295
## [73,] 328 334 331 326 315 305 297 283
## [74,] 304 315 314 320 319 311 304 274
## [75,] 304 304 307 334 328 321 309 294
## [76,] 304 304 304 365 346 340 318 304
## [77,] 304 304 304 348 365 365 325 304
## [78,] 304 303 304 330 352 340 328 315
## [79,] 304 301 302 304 320 322 321 313
## [80,] 297 296 299 310 310 310 311 309
## [81,] 281 280 286 300 308 309 306 306
## [82,] 260 253 267 285 304 305 305 305
## [83,] 243 246 243 267 288 304 304 304
## [,1009] [,1010] [,1011] [,1012] [,1013] [,1014] [,1015] [,1016]
## [1,] 200 199 207 198 179 159 142 127
## [2,] 204 211 229 221 197 168 146 129
## [3,] 207 219 238 224 193 161 136 121
## [4,] 210 219 239 227 197 166 142 125
## [5,] 211 207 218 203 179 156 137 123
## [6,] 206 196 174 154 142 133 126 119
## [7,] 204 187 163 145 134 128 123 118
## [8,] 199 182 157 140 131 126 123 120
## [9,] 198 183 160 144 136 131 127 124
## [10,] 201 190 168 153 146 140 134 130
## [11,] 212 206 189 173 161 152 144 139
## [12,] 226 225 211 197 179 166 156 148
## [13,] 235 235 219 201 183 172 165 160
## [14,] 239 229 214 198 188 179 174 171
## [15,] 238 221 202 193 187 183 181 180
## [16,] 231 214 198 189 186 185 185 184
## [17,] 227 205 197 192 193 193 196 189
## [18,] 232 219 207 203 206 209 206 195
## [19,] 240 231 226 220 223 233 226 210
## [20,] 251 244 242 239 240 242 239 226
## [21,] 264 254 258 259 255 252 249 241
## [22,] 284 274 275 279 268 261 256 249
## [23,] 302 296 296 304 278 269 263 255
## [24,] 304 302 304 304 283 276 269 260
## [25,] 304 304 304 291 287 281 275 265
## [26,] 304 304 304 299 293 285 274 264
## [27,] 304 304 304 304 301 289 274 263
## [28,] 304 304 304 304 304 291 271 259
## [29,] 304 304 304 304 304 281 258 253
## [30,] 303 304 304 304 276 263 239 243
## [31,] 295 297 291 273 253 236 203 186
## [32,] 280 277 268 258 243 218 184 183
## [33,] 262 258 260 253 243 228 195 183
## [34,] 243 243 249 247 246 244 222 190
## [35,] 182 182 243 243 243 244 237 207
## [36,] 187 183 183 182 203 230 238 218
## [37,] 184 184 183 181 181 192 225 224
## [38,] 183 183 182 180 178 179 191 195
## [39,] 189 182 182 178 174 170 164 159
## [40,] 204 189 182 175 168 158 144 128
## [41,] 224 205 182 177 167 153 138 121
## [42,] 253 233 201 182 174 161 149 142
## [43,] 273 243 208 190 182 172 165 164
## [44,] 270 243 202 182 186 181 178 182
## [45,] 260 238 182 184 183 188 201 209
## [46,] 243 215 182 182 182 203 243 243
## [47,] 230 206 182 182 182 213 241 242
## [48,] 202 182 191 183 200 223 243 243
## [49,] 182 184 183 184 208 241 241 243
## [50,] 200 182 182 182 182 243 243 243
## [51,] 210 182 182 182 182 192 223 236
## [52,] 216 203 182 182 182 182 182 202
## [53,] 224 220 205 189 182 182 182 182
## [54,] 241 243 224 205 182 182 182 204
## [55,] 243 248 243 223 191 182 182 206
## [56,] 293 268 244 238 211 197 206 217
## [57,] 299 304 274 243 228 226 228 232
## [58,] 304 303 304 275 247 238 240 250
## [59,] 304 305 304 284 260 243 262 269
## [60,] 304 308 309 302 282 281 287 289
## [61,] 308 313 316 315 304 298 322 302
## [62,] 313 319 326 334 338 335 355 335
## [63,] 315 324 333 350 365 363 365 360
## [64,] 308 320 332 356 364 365 364 365
## [65,] 304 304 318 340 365 347 352 351
## [66,] 304 304 304 324 325 328 321 323
## [67,] 304 304 304 305 305 304 304 304
## [68,] 304 303 304 304 304 305 304 317
## [69,] 303 303 303 304 304 311 327 339
## [70,] 302 301 302 304 314 328 350 365
## [71,] 298 293 297 304 317 330 346 359
## [72,] 286 277 283 296 304 308 304 325
## [73,] 266 252 267 284 294 302 305 304
## [74,] 243 248 251 273 287 300 304 319
## [75,] 256 243 245 263 285 304 303 319
## [76,] 277 243 243 243 270 296 304 320
## [77,] 284 243 243 243 243 278 304 316
## [78,] 304 258 243 243 249 267 287 304
## [79,] 304 274 243 243 252 266 283 304
## [80,] 304 275 243 243 243 250 280 301
## [81,] 304 280 252 243 243 243 274 304
## [82,] 304 277 243 243 243 258 277 304
## [83,] 304 287 243 243 243 243 274 288
## [,1017] [,1018] [,1019] [,1020] [,1021] [,1022] [,1023] [,1024]
## [1,] 116 109 108 109 112 116 120 124
## [2,] 117 108 106 107 110 114 118 123
## [3,] 112 107 105 106 108 113 118 121
## [4,] 114 107 105 105 107 111 115 117
## [5,] 113 108 106 105 106 108 110 111
## [6,] 113 109 107 106 105 105 105 104
## [7,] 114 111 109 107 105 103 100 96
## [8,] 117 113 111 109 107 104 97 91
## [9,] 120 117 115 113 112 107 97 88
## [10,] 125 122 120 119 117 111 101 89
## [11,] 132 126 123 121 120 115 105 94
## [12,] 139 132 127 123 121 119 111 99
## [13,] 152 142 132 126 122 119 109 99
## [14,] 166 155 142 131 124 120 110 99
## [15,] 176 166 150 135 127 125 114 103
## [16,] 182 170 149 135 132 139 129 117
## [17,] 184 174 160 141 149 165 160 141
## [18,] 188 181 173 167 174 178 179 170
## [19,] 197 191 188 187 186 189 188 184
## [20,] 216 206 205 205 199 198 193 188
## [21,] 233 225 224 220 212 205 194 190
## [22,] 243 243 243 234 225 214 208 196
## [23,] 249 246 244 243 239 232 234 219
## [24,] 253 249 245 243 242 242 243 243
## [25,] 256 251 246 243 240 240 243 243
## [26,] 257 252 247 243 231 220 243 243
## [27,] 256 251 245 238 216 188 199 228
## [28,] 254 249 246 243 214 182 183 182
## [29,] 251 248 245 244 236 185 179 179
## [30,] 246 246 245 243 182 186 176 174
## [31,] 213 244 232 212 199 181 173 170
## [32,] 185 182 206 195 181 173 168 164
## [33,] 182 183 182 182 180 169 162 156
## [34,] 182 182 182 182 176 165 157 149
## [35,] 196 182 182 182 174 161 151 141
## [36,] 218 216 201 186 176 163 151 138
## [37,] 243 243 227 194 184 173 157 143
## [38,] 199 213 213 187 183 174 161 148
## [39,] 142 121 152 152 158 157 149 144
## [40,] 123 125 122 121 130 133 133 132
## [41,] 121 122 121 122 122 121 121 123
## [42,] 130 121 121 121 124 129 125 121
## [43,] 159 140 121 121 131 141 135 126
## [44,] 182 161 148 121 149 154 144 128
## [45,] 200 192 186 164 167 143 152 126
## [46,] 226 216 205 196 182 121 159 121
## [47,] 243 237 225 219 179 156 175 172
## [48,] 243 243 243 243 215 207 198 182
## [49,] 243 243 243 243 243 227 213 201
## [50,] 243 243 243 243 243 236 226 212
## [51,] 243 243 243 243 246 245 238 226
## [52,] 224 238 243 243 251 255 250 243
## [53,] 211 234 243 245 256 264 258 250
## [54,] 217 238 250 262 276 290 276 263
## [55,] 225 243 261 285 304 302 304 284
## [56,] 231 240 267 299 309 315 313 308
## [57,] 243 262 291 311 321 329 329 321
## [58,] 262 275 297 326 339 352 353 339
## [59,] 281 292 314 340 365 362 365 365
## [60,] 298 312 332 352 361 364 364 365
## [61,] 304 333 356 365 363 365 364 365
## [62,] 355 355 361 364 365 365 365 365
## [63,] 365 365 365 365 364 365 365 365
## [64,] 364 365 365 365 365 365 365 365
## [65,] 358 365 365 365 365 365 365 365
## [66,] 329 345 365 365 365 365 365 365
## [67,] 304 333 359 364 365 365 365 365
## [68,] 326 345 365 365 364 365 365 371
## [69,] 347 361 364 364 365 365 370 379
## [70,] 365 364 365 365 365 365 374 386
## [71,] 365 364 365 365 365 365 364 377
## [72,] 342 359 365 365 365 365 361 363
## [73,] 329 356 364 365 365 357 351 354
## [74,] 329 356 365 365 365 340 321 339
## [75,] 336 357 365 365 365 333 304 318
## [76,] 339 362 365 365 351 328 304 309
## [77,] 352 365 365 337 324 304 313 305
## [78,] 334 346 332 314 306 307 305 304
## [79,] 318 319 312 304 304 305 304 300
## [80,] 304 308 305 305 304 304 304 293
## [81,] 304 304 304 305 304 304 304 286
## [82,] 304 304 304 304 304 304 297 275
## [83,] 304 304 304 304 304 304 277 256
## [,1025] [,1026] [,1027] [,1028] [,1029] [,1030] [,1031] [,1032]
## [1,] 127 129 132 135 137 138 137 133
## [2,] 126 128 132 137 139 140 139 136
## [3,] 124 126 131 135 139 141 140 137
## [4,] 119 120 125 130 135 137 137 136
## [5,] 112 112 116 122 128 132 133 132
## [6,] 102 102 106 113 119 125 127 127
## [7,] 93 92 96 102 109 117 122 124
## [8,] 85 83 85 91 100 109 116 120
## [9,] 80 75 75 81 91 102 109 114
## [10,] 79 72 69 74 85 92 98 105
## [11,] 82 72 66 67 75 81 87 94
## [12,] 86 73 66 63 65 70 71 81
## [13,] 88 77 67 63 62 62 62 70
## [14,] 89 77 68 63 61 60 60 62
## [15,] 91 76 71 65 62 61 60 60
## [16,] 105 94 82 71 66 63 61 60
## [17,] 126 115 106 89 74 70 64 62
## [18,] 159 140 131 117 98 83 71 68
## [19,] 172 173 156 140 124 107 91 76
## [20,] 183 178 167 151 136 121 108 96
## [21,] 184 180 170 157 142 131 121 111
## [22,] 182 182 176 170 149 121 131 121
## [23,] 203 191 189 185 171 152 162 152
## [24,] 222 212 209 200 190 185 183 183
## [25,] 238 228 226 217 200 189 185 183
## [26,] 243 243 243 233 206 190 185 183
## [27,] 243 243 243 234 204 185 183 182
## [28,] 213 243 243 211 182 185 183 183
## [29,] 180 181 194 194 188 184 183 182
## [30,] 174 176 179 182 183 183 183 182
## [31,] 170 172 174 178 182 182 182 182
## [32,] 164 165 167 171 178 182 182 182
## [33,] 158 158 159 165 173 182 182 182
## [34,] 146 144 144 152 162 169 172 165
## [35,] 130 121 121 136 148 154 153 150
## [36,] 126 122 122 124 135 138 137 137
## [37,] 133 127 121 121 121 121 121 125
## [38,] 137 128 121 121 121 121 121 121
## [39,] 136 128 121 121 121 121 121 121
## [40,] 129 125 123 121 121 121 121 121
## [41,] 123 123 122 122 121 121 121 121
## [42,] 121 122 122 121 121 121 121 121
## [43,] 123 122 121 121 121 121 121 121
## [44,] 124 122 121 121 121 121 121 121
## [45,] 122 122 121 121 121 121 121 121
## [46,] 121 121 121 121 121 121 121 121
## [47,] 148 130 121 121 121 121 121 121
## [48,] 182 162 128 121 121 121 121 126
## [49,] 189 173 130 121 121 121 121 126
## [50,] 198 172 121 121 121 121 121 151
## [51,] 211 189 155 121 121 121 121 149
## [52,] 229 204 182 182 121 121 121 145
## [53,] 243 217 203 191 182 121 158 154
## [54,] 249 237 224 217 209 195 187 177
## [55,] 266 248 243 243 243 226 211 195
## [56,] 294 292 290 263 251 245 235 207
## [57,] 313 304 287 276 261 249 244 227
## [58,] 325 307 294 279 263 246 244 225
## [59,] 344 321 304 284 266 243 243 231
## [60,] 356 329 310 299 279 267 252 239
## [61,] 361 340 321 304 294 288 281 265
## [62,] 365 349 330 304 304 304 304 282
## [63,] 365 365 355 349 325 323 317 303
## [64,] 366 366 365 366 365 346 338 322
## [65,] 367 369 368 368 366 361 359 343
## [66,] 369 372 372 372 370 366 365 365
## [67,] 371 377 378 378 377 366 365 354
## [68,] 379 387 391 395 399 381 365 359
## [69,] 396 408 412 420 426 406 378 366
## [70,] 414 426 423 420 426 426 384 367
## [71,] 409 426 418 410 407 398 378 364
## [72,] 385 385 392 380 365 373 359 349
## [73,] 365 365 372 365 363 365 345 333
## [74,] 365 365 365 349 336 333 325 310
## [75,] 365 365 365 334 304 313 308 309
## [76,] 352 365 352 330 304 304 304 304
## [77,] 325 329 332 316 304 302 302 303
## [78,] 310 311 308 300 297 299 301 303
## [79,] 300 304 292 287 291 295 299 302
## [80,] 289 282 277 275 280 289 297 301
## [81,] 275 266 262 263 271 284 296 301
## [82,] 259 249 248 253 265 282 297 302
## [83,] 243 246 243 243 263 285 301 303
## [,1033] [,1034] [,1035] [,1036] [,1037] [,1038] [,1039] [,1040]
## [1,] 126 117 106 95 82 71 61 53
## [2,] 130 121 111 99 86 75 65 57
## [3,] 131 122 110 97 85 75 66 60
## [4,] 131 121 108 95 84 74 66 61
## [5,] 128 120 109 97 85 75 67 62
## [6,] 126 120 110 98 86 76 68 63
## [7,] 124 119 110 99 88 78 70 63
## [8,] 121 119 113 104 93 81 71 64
## [9,] 117 118 115 106 95 83 73 65
## [10,] 110 115 116 109 98 85 74 65
## [11,] 101 109 115 108 97 84 73 65
## [12,] 91 105 109 108 92 76 67 62
## [13,] 73 80 90 77 67 68 63 60
## [14,] 62 66 67 69 64 62 60 59
## [15,] 60 60 63 62 61 60 60 60
## [16,] 60 60 61 61 61 60 62 62
## [17,] 61 62 64 64 63 64 73 72
## [18,] 65 72 76 74 70 77 87 92
## [19,] 76 86 92 93 99 103 114 119
## [20,] 92 106 111 115 124 136 144 146
## [21,] 113 123 131 139 150 162 173 174
## [22,] 121 150 150 157 166 182 179 182
## [23,] 172 174 169 165 169 182 182 182
## [24,] 182 175 176 162 158 165 182 182
## [25,] 182 182 160 143 131 134 153 174
## [26,] 183 182 146 121 125 122 121 149
## [27,] 182 168 136 123 122 122 121 121
## [28,] 182 182 158 121 121 121 121 121
## [29,] 182 182 182 121 121 121 121 121
## [30,] 182 182 174 158 137 121 121 121
## [31,] 182 182 182 182 182 152 121 121
## [32,] 182 182 182 182 182 182 171 146
## [33,] 179 182 182 182 182 182 182 163
## [34,] 167 172 182 182 182 182 182 169
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## [58,] 208 196 182 182 182 219 243 243
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## [62,] 270 261 252 243 255 251 250 249
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## [66,] 338 320 304 304 304 304 305 307
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## [68,] 350 344 335 325 315 311 315 315
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## [71,] 365 365 365 365 355 350 346 347
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## [74,] 306 315 339 358 365 383 400 426
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## [83,] 304 304 304 304 304 304 304 304
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## [82,] 304 304 341 365 366 365 366 365
## [83,] 304 309 318 342 356 360 363 365
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## [2,] 57 61 65 67 66 64 61 58
## [3,] 62 66 69 69 68 65 62 58
## [4,] 63 67 69 69 68 65 62 60
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## [24,] 84 60 60 60 60 60 60 77
## [25,] 77 60 60 60 60 60 63 85
## [26,] 75 60 61 61 60 60 60 94
## [27,] 60 67 62 61 60 60 60 93
## [28,] 62 61 62 62 61 60 65 96
## [29,] 60 62 61 60 61 60 70 99
## [30,] 69 60 60 60 60 60 82 115
## [31,] 73 60 60 60 60 73 109 121
## [32,] 80 67 60 60 67 92 121 150
## [33,] 90 81 72 60 82 103 121 154
## [34,] 102 96 90 97 100 120 143 164
## [35,] 116 113 111 110 113 130 153 182
## [36,] 121 119 119 118 118 129 149 162
## [37,] 121 121 121 121 121 123 129 144
## [38,] 121 121 121 121 121 121 121 121
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## [51,] 121 121 121 121 121 121 121 121
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## [53,] 121 121 121 121 121 121 121 121
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## [55,] 182 131 121 121 121 121 133 134
## [56,] 163 148 129 121 121 135 145 146
## [57,] 165 151 142 128 139 146 160 171
## [58,] 168 157 149 145 148 160 170 182
## [59,] 174 167 163 163 168 172 182 184
## [60,] 182 180 178 182 178 178 182 192
## [61,] 182 182 182 184 185 181 191 203
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## [65,] 202 219 241 243 243 243 243 242
## [66,] 235 243 241 245 243 243 243 243
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## [81,] 381 406 381 375 371 368 366 345
## [82,] 365 372 371 368 367 366 366 365
## [83,] 365 367 368 367 366 366 365 365
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## [1,] 55 52 49 46 43 41 39 37
## [2,] 55 52 50 47 44 42 40 39
## [3,] 55 53 51 48 45 43 42 41
## [4,] 57 54 53 50 47 46 46 45
## [5,] 59 56 55 52 50 50 50 49
## [6,] 59 58 57 55 54 55 54 52
## [7,] 60 60 59 59 59 59 58 56
## [8,] 60 60 60 60 60 60 60 59
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## [11,] 60 60 60 60 61 62 63 61
## [12,] 60 60 60 61 62 66 69 64
## [13,] 60 60 60 62 65 73 79 72
## [14,] 60 60 60 63 68 80 86 76
## [15,] 60 60 60 65 75 93 98 80
## [16,] 60 60 60 68 83 111 107 82
## [17,] 60 60 60 66 88 121 118 83
## [18,] 60 60 60 60 60 105 94 81
## [19,] 60 60 60 60 60 65 81 70
## [20,] 60 60 60 60 60 60 60 62
## [21,] 60 60 60 60 60 60 60 60
## [22,] 60 60 60 60 60 60 60 60
## [23,] 69 67 60 60 60 60 60 60
## [24,] 88 94 85 70 60 60 60 60
## [25,] 106 121 104 89 72 60 60 60
## [26,] 114 119 121 113 92 72 60 60
## [27,] 109 115 121 111 101 78 60 60
## [28,] 111 118 119 118 115 99 84 68
## [29,] 113 121 121 121 122 121 106 91
## [30,] 132 140 140 149 135 122 121 114
## [31,] 162 182 182 182 151 128 122 121
## [32,] 182 179 182 182 159 129 122 121
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## [35,] 179 182 182 182 182 182 167 143
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## [37,] 156 170 182 182 182 182 182 175
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## [43,] 121 121 121 121 121 121 121 121
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## [55,] 135 131 124 121 121 121 121 121
## [56,] 148 141 127 121 121 121 121 121
## [57,] 182 163 140 121 121 121 121 141
## [58,] 179 182 153 138 121 121 145 156
## [59,] 184 176 170 170 151 140 153 166
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## [82,] 349 332 313 304 270 243 229 227
## [83,] 365 356 326 309 294 260 242 238
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## [1,] 37 36 36 36 37 37 38 38
## [2,] 39 39 39 39 39 39 38 38
## [3,] 41 42 42 41 40 40 39 39
## [4,] 45 46 44 43 43 42 42 42
## [5,] 48 49 47 47 47 46 46 45
## [6,] 51 52 51 50 50 49 49 48
## [7,] 55 55 54 53 54 53 51 50
## [8,] 58 57 57 57 57 56 54 53
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## [11,] 61 61 61 61 61 61 60 60
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## [19,] 67 74 82 90 103 116 121 110
## [20,] 60 60 77 90 112 121 115 115
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## [22,] 60 60 60 66 87 94 103 111
## [23,] 60 60 60 60 79 87 97 107
## [24,] 60 60 60 60 68 78 90 102
## [25,] 60 60 60 60 60 69 87 103
## [26,] 60 60 60 60 60 60 89 116
## [27,] 60 60 60 60 60 82 95 121
## [28,] 60 60 60 60 68 86 104 117
## [29,] 76 60 60 60 75 93 107 114
## [30,] 99 88 68 66 84 99 110 115
## [31,] 121 121 89 86 95 104 111 114
## [32,] 121 121 102 99 104 107 111 113
## [33,] 121 121 111 112 114 113 113 114
## [34,] 121 121 120 121 121 118 117 117
## [35,] 123 121 121 123 123 121 120 120
## [36,] 121 123 121 129 128 124 121 121
## [37,] 147 121 139 143 137 130 124 121
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## [42,] 147 149 145 131 125 123 122 122
## [43,] 128 129 129 122 121 121 121 121
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## [53,] 121 121 113 108 104 101 96 86
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## [56,] 121 121 121 121 124 122 121 107
## [57,] 158 136 135 134 130 125 122 110
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## [79,] 184 171 160 149 144 172 182 165
## [80,] 184 183 179 175 174 175 155 142
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## [82,] 230 243 225 204 186 166 149 135
## [83,] 241 242 243 218 190 172 159 145
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## [1,] 38 38 37 37 36 36 36 36
## [2,] 38 38 38 38 38 38 38 39
## [3,] 39 39 39 39 39 39 41 43
## [4,] 42 42 42 42 41 41 43 44
## [5,] 45 45 45 44 43 43 45 46
## [6,] 48 48 47 47 45 45 46 48
## [7,] 51 51 50 49 47 47 48 49
## [8,] 53 53 53 51 49 48 49 50
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## [10,] 59 59 58 55 52 51 52 53
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## [15,] 69 67 65 62 60 58 58 58
## [16,] 73 71 68 62 60 60 60 60
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## [18,] 92 88 81 71 68 65 67 66
## [19,] 104 100 92 78 75 73 72 70
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## [25,] 113 121 121 117 111 107 104 100
## [26,] 117 119 121 121 119 116 116 109
## [27,] 121 121 121 121 121 121 121 121
## [28,] 121 121 121 121 121 121 121 119
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## [30,] 117 118 120 121 121 121 121 121
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## [32,] 115 118 120 121 121 121 121 121
## [33,] 116 118 120 121 121 121 121 121
## [34,] 117 119 121 121 121 121 121 121
## [35,] 119 120 121 121 121 121 121 121
## [36,] 121 121 121 121 121 121 121 121
## [37,] 121 121 121 121 121 121 121 120
## [38,] 121 121 121 121 121 121 121 120
## [39,] 121 121 121 121 121 121 121 119
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## [42,] 121 121 121 121 121 121 111 99
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## [51,] 60 60 60 60 60 60 60 60
## [52,] 71 68 67 66 64 62 61 60
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## [55,] 88 86 83 79 76 72 67 63
## [56,] 95 92 88 85 81 75 70 66
## [57,] 101 98 94 90 86 80 74 70
## [58,] 107 104 100 96 92 85 79 74
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## [63,] 145 137 128 123 122 119 106 101
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## [68,] 121 121 121 121 121 121 121 121
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## [73,] 121 121 121 121 121 121 120 119
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## [77,] 139 129 124 122 120 119 117 115
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## [79,] 131 124 123 122 119 118 115 112
## [80,] 121 122 123 122 121 121 117 113
## [81,] 126 123 121 134 133 130 124 119
## [82,] 121 121 151 172 160 148 135 121
## [83,] 140 153 172 196 189 174 159 140
## [,1081] [,1082] [,1083] [,1084] [,1085] [,1086] [,1087] [,1088]
## [1,] 36 35 35 36 38 41 44 47
## [2,] 39 40 41 42 44 46 48 50
## [3,] 43 44 45 47 48 50 51 53
## [4,] 45 45 47 49 50 51 52 54
## [5,] 46 47 48 50 51 52 53 54
## [6,] 48 48 49 51 52 53 54 55
## [7,] 49 49 50 52 53 53 54 56
## [8,] 51 50 51 52 53 54 55 56
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## [10,] 53 53 53 54 55 56 57 57
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## [13,] 56 56 56 57 58 58 59 59
## [14,] 58 57 57 58 59 59 59 60
## [15,] 59 58 58 59 59 59 59 60
## [16,] 60 59 59 59 59 59 60 60
## [17,] 62 61 60 60 60 60 60 60
## [18,] 65 62 60 60 60 60 60 60
## [19,] 68 64 61 60 60 60 60 60
## [20,] 72 67 63 61 60 60 60 60
## [21,] 75 70 66 64 61 60 60 60
## [22,] 80 74 69 66 63 61 61 60
## [23,] 84 78 72 68 65 62 60 60
## [24,] 88 81 75 70 65 61 61 60
## [25,] 91 83 78 72 66 62 60 60
## [26,] 98 89 82 74 67 60 60 60
## [27,] 106 97 89 79 70 60 60 60
## [28,] 116 114 102 89 77 66 60 72
## [29,] 121 121 121 101 90 81 84 89
## [30,] 121 121 119 110 103 98 96 102
## [31,] 121 121 121 119 117 117 113 117
## [32,] 121 121 121 121 121 120 121 121
## [33,] 121 121 121 121 121 121 121 121
## [34,] 121 121 121 121 121 121 121 121
## [35,] 121 121 121 121 121 121 121 121
## [36,] 121 120 119 120 121 121 120 121
## [37,] 119 118 117 117 117 117 119 121
## [38,] 118 116 114 113 114 115 118 121
## [39,] 116 113 111 109 110 112 118 121
## [40,] 111 107 103 99 102 107 119 121
## [41,] 97 90 83 86 93 101 121 121
## [42,] 83 71 60 62 69 72 92 112
## [43,] 77 60 62 60 61 60 60 81
## [44,] 80 70 60 60 60 60 60 60
## [45,] 84 72 60 60 60 60 60 60
## [46,] 87 75 67 60 60 60 60 60
## [47,] 84 76 68 60 60 60 60 60
## [48,] 73 70 66 60 60 60 60 60
## [49,] 60 60 62 62 60 60 60 60
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## [51,] 60 60 60 60 60 60 60 60
## [52,] 60 60 60 60 60 60 60 60
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## [55,] 60 60 60 60 60 60 60 60
## [56,] 63 60 60 60 60 60 60 60
## [57,] 66 62 60 60 60 60 60 60
## [58,] 70 66 63 60 60 60 60 60
## [59,] 74 69 65 63 61 60 60 60
## [60,] 78 73 67 63 60 60 60 60
## [61,] 81 75 68 61 60 60 60 60
## [62,] 87 79 69 60 60 60 60 60
## [63,] 93 84 72 63 60 60 60 60
## [64,] 105 94 76 63 61 60 60 60
## [65,] 121 104 72 61 60 60 60 60
## [66,] 121 107 60 61 61 66 71 68
## [67,] 121 95 79 60 74 79 84 80
## [68,] 121 102 89 85 88 94 98 92
## [69,] 121 113 102 101 103 107 112 104
## [70,] 121 121 116 117 115 118 120 117
## [71,] 121 121 121 121 121 121 121 121
## [72,] 120 121 121 121 121 121 121 121
## [73,] 119 119 119 121 121 121 121 121
## [74,] 118 118 117 119 119 121 121 121
## [75,] 116 115 115 116 117 118 121 121
## [76,] 114 113 112 113 113 113 116 121
## [77,] 112 110 108 108 106 105 106 110
## [78,] 110 107 103 101 98 95 93 96
## [79,] 108 104 98 93 89 84 80 76
## [80,] 108 103 95 87 82 76 70 60
## [81,] 112 106 98 89 82 76 69 63
## [82,] 118 109 99 92 85 78 71 65
## [83,] 126 116 104 95 87 79 71 65
## [,1089] [,1090] [,1091] [,1092] [,1093] [,1094] [,1095] [,1096]
## [1,] 50 53 56 58 59 60 61 62
## [2,] 52 55 58 60 61 61 61 62
## [3,] 55 57 60 61 62 62 62 62
## [4,] 55 57 60 61 61 62 61 61
## [5,] 56 57 60 60 60 60 60 60
## [6,] 56 58 60 60 60 60 60 60
## [7,] 56 58 60 60 60 60 60 60
## [8,] 57 58 60 60 60 60 60 60
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## [11,] 59 60 60 60 60 60 60 60
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## [19,] 60 60 60 60 60 60 60 60
## [20,] 60 60 60 60 60 60 60 60
## [21,] 60 60 60 60 60 60 60 60
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## [23,] 60 60 60 60 60 60 60 60
## [24,] 60 60 60 60 60 60 60 60
## [25,] 60 60 60 60 60 60 60 60
## [26,] 60 60 60 60 60 60 60 60
## [27,] 65 64 61 60 60 60 60 60
## [28,] 73 69 64 60 61 60 60 60
## [29,] 85 78 70 67 62 61 60 60
## [30,] 93 84 75 69 64 61 60 60
## [31,] 103 92 80 71 64 61 60 60
## [32,] 110 97 82 67 60 61 60 60
## [33,] 117 104 83 67 63 61 60 60
## [34,] 121 121 89 77 70 63 60 60
## [35,] 121 106 93 81 72 64 61 60
## [36,] 121 110 98 85 70 60 60 60
## [37,] 121 110 99 87 70 61 61 60
## [38,] 121 110 100 91 74 65 60 60
## [39,] 121 113 105 97 77 68 64 60
## [40,] 121 117 110 104 80 70 66 64
## [41,] 121 121 116 110 82 72 68 66
## [42,] 121 121 121 118 84 74 70 68
## [43,] 103 121 111 98 86 76 71 69
## [44,] 80 88 93 92 85 77 72 69
## [45,] 60 71 75 76 76 72 68 67
## [46,] 60 60 63 65 66 63 60 62
## [47,] 60 60 60 61 61 60 60 60
## [48,] 60 60 60 60 60 60 60 60
## [49,] 60 60 60 60 60 60 60 60
## [50,] 60 60 60 60 60 60 60 60
## [51,] 60 60 60 60 60 60 60 60
## [52,] 60 60 60 60 60 60 60 60
## [53,] 60 60 60 60 60 60 60 60
## [54,] 60 60 60 60 60 60 60 60
## [55,] 60 60 60 60 60 60 60 60
## [56,] 60 60 60 60 60 60 60 60
## [57,] 60 60 60 60 60 60 60 60
## [58,] 60 60 60 60 60 60 60 60
## [59,] 60 60 60 60 60 60 60 60
## [60,] 60 60 60 60 60 60 60 60
## [61,] 60 60 60 60 60 60 60 60
## [62,] 60 60 60 60 60 60 60 60
## [63,] 60 60 60 60 60 60 60 60
## [64,] 60 60 60 60 60 60 60 60
## [65,] 60 60 60 60 60 60 60 60
## [66,] 63 60 61 60 60 60 60 60
## [67,] 74 66 60 60 60 60 60 60
## [68,] 85 75 65 60 60 60 60 60
## [69,] 96 84 72 65 60 60 60 60
## [70,] 108 94 79 70 60 60 60 60
## [71,] 121 105 88 78 69 60 60 60
## [72,] 121 114 95 84 75 67 60 60
## [73,] 121 118 105 94 83 74 65 60
## [74,] 121 121 114 102 90 78 68 62
## [75,] 121 121 121 106 92 79 67 61
## [76,] 120 121 121 105 90 76 60 61
## [77,] 116 121 121 101 87 74 68 61
## [78,] 101 121 101 95 84 74 67 62
## [79,] 71 82 86 84 79 73 67 61
## [80,] 60 60 67 68 69 66 60 61
## [81,] 60 60 60 62 62 62 62 61
## [82,] 60 60 60 60 60 60 60 60
## [83,] 61 60 60 60 60 60 60 60
## [,1097] [,1098] [,1099] [,1100] [,1101] [,1102] [,1103] [,1104]
## [1,] 62 63 62 60 57 53 48 44
## [2,] 63 65 65 63 61 58 53 49
## [3,] 64 66 66 65 63 61 57 53
## [4,] 62 64 64 64 63 62 60 57
## [5,] 60 61 61 61 61 60 60 59
## [6,] 60 60 60 60 60 60 60 60
## [7,] 60 60 60 60 60 60 60 60
## [8,] 60 60 60 60 60 60 60 60
## [9,] 60 60 60 60 60 60 60 60
## [10,] 60 60 60 60 60 60 60 60
## [11,] 60 60 60 60 60 60 60 60
## [12,] 60 60 60 60 60 60 60 60
## [13,] 60 60 60 60 60 60 60 60
## [14,] 60 60 60 60 60 60 60 60
## [15,] 60 60 60 60 60 60 60 60
## [16,] 60 60 60 60 60 60 60 60
## [17,] 60 60 60 60 60 60 60 60
## [18,] 60 60 60 60 60 60 60 60
## [19,] 60 60 60 60 60 60 60 60
## [20,] 60 60 60 60 60 60 60 60
## [21,] 60 60 60 60 60 60 60 60
## [22,] 60 60 60 60 60 60 60 60
## [23,] 60 60 60 60 60 60 60 60
## [24,] 60 60 60 60 60 60 60 60
## [25,] 60 60 60 60 60 60 60 60
## [26,] 60 60 60 60 60 60 60 60
## [27,] 60 60 60 60 60 60 60 60
## [28,] 60 60 60 60 60 60 60 60
## [29,] 60 60 60 60 60 60 60 60
## [30,] 60 60 60 60 60 60 60 60
## [31,] 60 60 60 60 60 60 60 60
## [32,] 60 60 60 60 60 60 60 60
## [33,] 60 60 60 60 60 60 60 60
## [34,] 60 60 60 60 60 60 60 60
## [35,] 60 60 60 60 60 60 60 60
## [36,] 60 60 60 60 60 60 60 60
## [37,] 60 60 60 60 60 60 60 60
## [38,] 60 60 60 60 60 60 60 60
## [39,] 60 60 60 60 60 60 60 60
## [40,] 62 61 60 60 60 60 60 60
## [41,] 64 62 61 60 60 60 60 60
## [42,] 65 64 62 60 60 60 60 60
## [43,] 66 64 62 60 60 60 60 60
## [44,] 66 64 62 60 60 60 60 60
## [45,] 65 64 61 60 60 60 60 60
## [46,] 62 62 61 60 60 60 60 60
## [47,] 60 60 60 60 60 60 60 60
## [48,] 60 60 60 60 60 60 60 60
## [49,] 60 60 60 60 60 60 60 60
## [50,] 60 60 60 60 60 60 60 60
## [51,] 60 60 60 60 60 60 60 60
## [52,] 60 60 60 60 60 60 60 60
## [53,] 60 60 60 60 60 60 60 60
## [54,] 60 60 60 60 60 60 60 60
## [55,] 60 60 60 60 60 60 60 60
## [56,] 60 60 60 60 60 60 60 60
## [57,] 60 60 60 60 60 60 60 60
## [58,] 60 60 60 60 60 60 60 60
## [59,] 60 60 60 60 60 60 60 60
## [60,] 60 60 60 60 60 60 60 60
## [61,] 60 60 60 60 60 60 60 60
## [62,] 60 60 60 60 60 60 60 60
## [63,] 60 60 60 60 60 60 60 60
## [64,] 60 60 60 60 60 60 60 60
## [65,] 60 60 60 60 60 60 60 60
## [66,] 60 60 60 60 60 60 60 60
## [67,] 60 60 60 60 60 60 60 60
## [68,] 60 60 60 60 60 60 60 60
## [69,] 60 60 60 60 60 60 60 60
## [70,] 60 60 60 60 60 60 60 60
## [71,] 60 60 60 60 60 60 60 60
## [72,] 60 60 60 60 60 60 60 60
## [73,] 60 60 60 60 60 60 60 60
## [74,] 60 60 60 60 60 60 60 60
## [75,] 60 60 60 60 60 60 60 60
## [76,] 60 60 60 60 60 60 60 60
## [77,] 60 60 60 60 60 60 60 60
## [78,] 60 60 60 60 60 60 60 60
## [79,] 60 60 60 60 60 60 60 60
## [80,] 60 60 60 60 60 60 60 60
## [81,] 60 60 60 60 60 60 60 60
## [82,] 60 60 60 60 60 60 60 60
## [83,] 60 60 60 60 60 60 60 60
## [,1105] [,1106] [,1107] [,1108] [,1109] [,1110] [,1111] [,1112]
## [1,] 40 36 34 32 29 27 24 22
## [2,] 45 41 39 36 34 31 27 25
## [3,] 49 45 42 40 37 33 29 26
## [4,] 54 50 47 44 41 37 31 27
## [5,] 58 55 52 49 45 40 33 28
## [6,] 60 58 55 52 48 42 34 28
## [7,] 60 60 58 55 50 43 35 29
## [8,] 60 60 59 56 50 42 34 27
## [9,] 60 60 60 57 50 42 33 26
## [10,] 60 60 60 57 50 42 33 26
## [11,] 60 60 60 57 50 42 33 26
## [12,] 60 60 60 59 51 42 33 24
## [13,] 60 60 60 59 51 42 33 24
## [14,] 60 60 60 59 51 42 33 24
## [15,] 60 60 60 60 52 42 33 24
## [16,] 60 60 60 59 51 42 33 24
## [17,] 60 60 60 59 51 42 33 24
## [18,] 60 60 60 57 50 42 33 25
## [19,] 60 60 60 57 50 42 34 25
## [20,] 60 60 60 57 50 42 34 25
## [21,] 60 60 60 57 50 42 34 26
## [22,] 60 60 60 60 51 43 34 26
## [23,] 60 60 60 60 52 43 35 26
## [24,] 60 60 60 60 52 43 35 26
## [25,] 60 60 60 60 52 44 35 27
## [26,] 60 60 60 60 52 44 36 27
## [27,] 60 60 60 60 52 44 36 27
## [28,] 60 60 60 60 53 45 36 28
## [29,] 60 60 60 60 53 45 37 28
## [30,] 60 60 60 60 54 46 37 28
## [31,] 60 60 60 60 55 46 37 29
## [32,] 60 60 60 60 56 47 38 29
## [33,] 60 60 60 60 57 47 38 29
## [34,] 60 60 60 60 58 47 39 29
## [35,] 60 60 60 60 60 47 39 30
## [36,] 60 60 60 60 52 47 39 30
## [37,] 60 60 60 60 52 47 39 30
## [38,] 60 60 60 60 53 47 40 30
## [39,] 60 60 60 60 53 48 40 31
## [40,] 60 60 60 60 53 49 40 31
## [41,] 60 60 60 60 54 50 41 31
## [42,] 60 60 60 60 54 51 41 31
## [43,] 60 60 60 60 55 52 41 32
## [44,] 60 60 60 60 55 53 42 29
## [45,] 60 60 60 60 56 54 42 29
## [46,] 60 60 60 60 57 55 42 30
## [47,] 60 60 60 60 58 57 42 30
## [48,] 60 60 60 60 59 58 42 30
## [49,] 60 60 60 60 60 59 41 31
## [50,] 60 60 60 60 60 60 41 31
## [51,] 60 60 60 60 60 49 40 31
## [52,] 60 60 60 60 60 49 40 32
## [53,] 60 60 60 60 60 49 38 32
## [54,] 60 60 60 60 60 49 37 31
## [55,] 60 60 60 60 60 50 38 32
## [56,] 60 60 60 60 60 50 38 32
## [57,] 60 60 60 60 60 50 39 33
## [58,] 60 60 60 60 60 50 37 33
## [59,] 60 60 60 60 60 50 39 34
## [60,] 60 60 60 60 60 50 39 34
## [61,] 60 60 60 60 60 50 39 35
## [62,] 60 60 60 60 60 50 40 35
## [63,] 60 60 60 60 60 50 40 36
## [64,] 60 60 60 60 60 46 38 37
## [65,] 60 60 60 60 60 47 39 37
## [66,] 60 60 60 60 60 47 39 38
## [67,] 60 60 60 60 60 47 40 38
## [68,] 60 60 60 60 60 47 40 39
## [69,] 60 60 60 60 60 47 41 39
## [70,] 60 60 60 60 60 48 41 40
## [71,] 60 60 60 60 60 48 42 40
## [72,] 60 60 60 60 60 48 42 41
## [73,] 60 60 60 60 60 48 43 42
## [74,] 60 60 60 60 56 46 43 42
## [75,] 60 60 60 60 56 46 44 43
## [76,] 60 60 60 60 56 47 44 43
## [77,] 60 60 60 60 56 47 45 44
## [78,] 60 60 60 60 56 48 46 45
## [79,] 60 60 60 60 56 48 46 45
## [80,] 60 60 60 60 56 48 46 46
## [81,] 60 60 60 60 56 49 47 46
## [82,] 60 60 60 60 56 49 47 47
## [83,] 60 60 60 60 56 50 48 47
## [,1113] [,1114] [,1115] [,1116] [,1117] [,1118] [,1119] [,1120]
## [1,] 20 19 18 17 17 17 17 18
## [2,] 23 22 21 21 21 21 22 23
## [3,] 25 24 24 24 24 25 26 27
## [4,] 25 23 23 24 25 25 26 28
## [5,] 24 22 22 24 25 25 26 29
## [6,] 24 22 22 24 25 26 27 29
## [7,] 24 22 22 25 26 26 27 29
## [8,] 23 22 22 25 26 26 27 30
## [9,] 22 21 22 25 26 27 28 30
## [10,] 22 21 23 26 27 27 28 30
## [11,] 21 21 23 26 27 27 28 31
## [12,] 21 22 25 27 28 28 29 31
## [13,] 21 23 26 28 28 28 29 31
## [14,] 21 23 27 28 28 28 29 32
## [15,] 21 23 27 28 29 29 30 32
## [16,] 22 24 27 29 29 29 30 32
## [17,] 22 24 28 29 29 29 30 32
## [18,] 22 24 28 30 30 30 31 33
## [19,] 23 25 28 30 30 30 31 33
## [20,] 23 25 29 30 30 30 31 33
## [21,] 22 25 29 31 31 31 31 34
## [22,] 18 25 30 31 31 31 31 34
## [23,] 18 28 31 32 32 32 32 35
## [24,] 18 28 31 32 32 32 32 35
## [25,] 19 28 32 32 32 32 32 35
## [26,] 19 29 32 32 32 32 32 35
## [27,] 19 29 32 33 33 33 33 36
## [28,] 20 29 33 33 33 33 33 36
## [29,] 20 30 33 33 33 33 33 37
## [30,] 21 30 33 34 34 34 34 37
## [31,] 21 31 34 34 34 34 34 37
## [32,] 21 31 34 35 35 35 34 38
## [33,] 24 32 35 35 35 35 35 38
## [34,] 26 34 35 35 35 35 35 38
## [35,] 27 34 35 35 35 35 35 39
## [36,] 27 35 36 36 36 36 36 39
## [37,] 27 35 36 36 36 36 36 39
## [38,] 28 35 36 37 37 36 36 40
## [39,] 28 36 37 37 37 37 38 40
## [40,] 29 36 37 37 37 37 38 40
## [41,] 29 37 37 38 38 37 39 41
## [42,] 30 37 38 38 38 38 39 41
## [43,] 30 37 38 38 38 38 39 42
## [44,] 35 38 39 39 39 38 40 42
## [45,] 35 38 39 39 39 39 40 42
## [46,] 36 39 39 39 39 39 40 42
## [47,] 36 39 39 40 39 39 40 42
## [48,] 37 39 40 40 40 40 41 43
## [49,] 37 40 40 40 40 40 41 43
## [50,] 38 40 41 41 40 40 43 43
## [51,] 38 40 41 41 41 41 43 44
## [52,] 39 41 41 41 41 41 43 44
## [53,] 39 41 42 42 42 41 44 44
## [54,] 39 42 42 42 42 42 44 45
## [55,] 40 42 42 42 42 42 44 45
## [56,] 40 42 43 43 42 42 45 45
## [57,] 41 43 43 43 43 43 45 45
## [58,] 41 43 43 43 43 43 45 46
## [59,] 42 43 44 44 43 43 45 46
## [60,] 42 44 44 44 44 44 46 46
## [61,] 42 44 44 44 44 44 46 46
## [62,] 43 44 45 45 44 44 46 47
## [63,] 43 45 45 45 45 45 46 47
## [64,] 44 45 45 45 45 45 47 47
## [65,] 44 46 46 46 46 45 47 47
## [66,] 45 46 46 46 46 46 48 48
## [67,] 45 46 46 46 46 46 48 48
## [68,] 46 47 47 47 46 46 48 48
## [69,] 46 47 47 47 47 47 48 49
## [70,] 46 47 47 47 47 47 49 49
## [71,] 47 48 48 48 47 47 49 49
## [72,] 47 48 48 48 48 48 49 49
## [73,] 48 48 48 48 48 48 49 50
## [74,] 48 49 49 49 48 48 50 50
## [75,] 48 49 49 49 49 49 50 50
## [76,] 49 49 49 49 49 49 50 50
## [77,] 49 50 50 50 49 49 50 51
## [78,] 50 50 50 50 50 49 51 51
## [79,] 50 50 50 50 50 50 51 51
## [80,] 50 51 51 51 50 50 51 51
## [81,] 51 51 51 51 51 50 52 52
## [82,] 51 52 51 51 51 51 52 52
## [83,] 52 52 52 52 51 51 52 52
## [,1121] [,1122] [,1123] [,1124] [,1125] [,1126] [,1127] [,1128]
## [1,] 19 20 21 22 23 24 25 26
## [2,] 24 26 28 29 30 31 33 34
## [3,] 29 31 33 34 36 37 39 41
## [4,] 30 33 35 37 38 40 42 44
## [5,] 31 34 36 37 38 41 42 44
## [6,] 31 34 37 38 39 41 42 44
## [7,] 31 35 37 38 39 41 43 45
## [8,] 32 35 37 38 39 41 43 45
## [9,] 32 36 38 38 39 42 43 45
## [10,] 32 36 38 39 39 42 43 45
## [11,] 33 37 38 39 39 42 44 45
## [12,] 33 37 39 39 39 42 44 44
## [13,] 33 37 39 39 39 42 44 45
## [14,] 34 37 39 39 39 42 44 45
## [15,] 34 38 39 39 39 43 44 47
## [16,] 34 38 39 40 40 43 44 47
## [17,] 34 38 40 40 40 43 45 47
## [18,] 35 39 40 40 40 43 45 47
## [19,] 36 39 40 40 40 43 45 47
## [20,] 37 40 40 41 41 44 45 47
## [21,] 37 40 41 41 41 44 45 48
## [22,] 37 40 41 41 41 44 46 47
## [23,] 37 41 41 41 41 44 46 48
## [24,] 38 41 41 41 41 44 46 48
## [25,] 38 41 41 42 42 45 46 48
## [26,] 38 41 42 42 42 45 46 50
## [27,] 39 41 42 42 42 45 47 50
## [28,] 39 42 42 42 42 45 47 50
## [29,] 40 42 42 42 42 45 47 50
## [30,] 41 42 42 43 43 46 47 50
## [31,] 41 42 43 43 43 46 47 50
## [32,] 42 42 43 43 43 46 47 50
## [33,] 42 43 43 43 43 46 48 50
## [34,] 42 43 43 43 43 46 48 51
## [35,] 42 43 43 44 44 47 48 51
## [36,] 42 43 44 44 44 47 48 51
## [37,] 43 44 44 44 44 47 48 51
## [38,] 43 44 44 44 44 48 48 51
## [39,] 43 44 44 45 45 48 49 51
## [40,] 43 44 45 45 45 48 49 51
## [41,] 44 45 45 45 45 48 49 52
## [42,] 44 45 45 45 45 48 49 52
## [43,] 44 45 45 45 45 48 49 52
## [44,] 44 45 46 46 46 48 49 52
## [45,] 45 46 46 46 47 49 49 52
## [46,] 45 46 46 46 47 49 49 52
## [47,] 45 46 46 46 47 49 49 52
## [48,] 45 46 46 46 48 49 50 52
## [49,] 46 46 46 46 48 50 50 52
## [50,] 46 46 47 47 48 50 50 53
## [51,] 46 47 47 47 48 50 50 53
## [52,] 46 47 47 47 48 50 50 53
## [53,] 47 47 47 47 49 50 50 53
## [54,] 47 47 48 48 49 50 51 53
## [55,] 47 48 48 48 50 51 51 53
## [56,] 47 48 48 48 50 51 51 53
## [57,] 47 48 48 48 50 51 51 53
## [58,] 48 48 48 48 51 51 51 53
## [59,] 48 49 49 49 51 51 51 53
## [60,] 48 49 49 49 51 51 51 53
## [61,] 49 49 49 49 51 52 52 54
## [62,] 49 49 49 49 51 52 52 54
## [63,] 49 49 49 49 51 52 52 54
## [64,] 49 49 50 50 52 52 52 54
## [65,] 49 50 50 50 52 52 52 54
## [66,] 49 50 50 50 52 52 52 54
## [67,] 50 50 50 50 52 52 52 54
## [68,] 50 50 50 50 52 53 53 54
## [69,] 50 51 51 51 52 53 53 54
## [70,] 50 51 51 51 53 53 53 55
## [71,] 51 51 51 51 53 53 53 55
## [72,] 51 51 51 51 53 53 53 55
## [73,] 51 51 51 51 53 53 53 55
## [74,] 51 52 52 52 53 53 53 55
## [75,] 52 52 52 52 53 53 53 55
## [76,] 52 52 52 52 53 54 54 55
## [77,] 52 52 52 52 53 54 54 55
## [78,] 52 52 52 52 54 54 54 55
## [79,] 53 53 53 53 54 54 54 55
## [80,] 53 53 53 53 54 54 54 56
## [81,] 53 53 53 53 54 54 54 56
## [82,] 53 53 53 53 54 55 55 56
## [83,] 53 53 53 53 55 55 55 56
## [,1129] [,1130] [,1131] [,1132] [,1133] [,1134] [,1135] [,1136]
## [1,] 27 28 29 29 29 29 30 30
## [2,] 36 37 38 38 38 38 38 38
## [3,] 43 44 45 45 45 45 45 45
## [4,] 46 48 49 49 48 48 49 49
## [5,] 47 49 50 50 48 49 49 50
## [6,] 48 49 50 50 48 49 49 50
## [7,] 48 50 50 50 48 49 49 50
## [8,] 48 50 50 50 48 49 49 50
## [9,] 48 50 50 50 48 49 50 50
## [10,] 48 50 50 50 48 49 50 50
## [11,] 48 50 50 50 48 49 50 50
## [12,] 49 50 50 50 47 49 50 50
## [13,] 49 50 50 51 47 49 50 51
## [14,] 49 50 51 51 48 49 50 51
## [15,] 50 50 51 51 48 49 50 51
## [16,] 50 51 51 51 48 49 51 51
## [17,] 50 51 51 51 48 49 51 51
## [18,] 50 51 51 51 48 50 51 51
## [19,] 50 51 51 51 48 50 51 51
## [20,] 50 51 51 51 48 50 51 51
## [21,] 50 51 51 51 48 50 51 51
## [22,] 50 51 51 51 48 50 51 51
## [23,] 51 51 51 51 48 51 51 51
## [24,] 51 51 51 51 49 51 51 51
## [25,] 51 51 51 52 49 51 51 52
## [26,] 51 51 52 52 49 51 52 52
## [27,] 51 52 52 52 49 51 52 52
## [28,] 51 52 52 52 49 51 52 52
## [29,] 51 52 52 52 49 51 52 52
## [30,] 51 52 52 52 49 51 52 52
## [31,] 51 52 52 52 50 52 52 52
## [32,] 52 52 52 52 50 52 52 52
## [33,] 52 52 52 52 50 52 52 52
## [34,] 52 52 52 52 50 52 52 52
## [35,] 52 52 52 52 50 52 52 52
## [36,] 52 52 52 52 50 52 52 53
## [37,] 52 52 52 53 51 52 53 53
## [38,] 52 52 53 53 51 52 53 53
## [39,] 52 53 53 53 51 53 53 53
## [40,] 52 53 53 52 51 53 53 53
## [41,] 53 53 53 51 52 53 53 53
## [42,] 53 53 53 51 52 53 53 53
## [43,] 53 53 53 52 52 53 53 53
## [44,] 53 53 53 52 52 53 53 53
## [45,] 53 53 53 52 52 53 53 53
## [46,] 53 53 53 52 53 53 53 53
## [47,] 53 53 53 52 53 53 53 53
## [48,] 53 53 53 52 53 53 53 53
## [49,] 53 53 53 52 53 53 53 53
## [50,] 53 53 53 52 53 53 53 53
## [51,] 53 53 53 51 53 53 53 54
## [52,] 53 53 53 51 53 53 54 54
## [53,] 53 53 54 51 53 54 54 54
## [54,] 53 54 54 51 53 54 54 54
## [55,] 54 54 54 52 53 54 54 54
## [56,] 54 54 54 52 53 54 54 54
## [57,] 54 54 54 52 53 54 54 54
## [58,] 54 54 54 52 54 54 54 54
## [59,] 54 54 54 52 54 54 54 54
## [60,] 54 54 54 52 54 54 54 54
## [61,] 54 54 54 52 54 54 54 54
## [62,] 54 54 54 52 54 54 54 54
## [63,] 54 54 54 53 54 54 54 55
## [64,] 54 54 54 53 54 55 55 55
## [65,] 54 54 54 53 54 55 55 55
## [66,] 54 55 55 53 54 55 55 55
## [67,] 55 55 55 53 54 55 55 55
## [68,] 55 55 55 53 55 55 55 55
## [69,] 55 55 55 53 55 55 55 55
## [70,] 55 55 55 53 55 55 55 55
## [71,] 55 55 55 53 55 55 55 55
## [72,] 55 55 55 53 55 55 55 55
## [73,] 55 55 55 54 55 55 55 55
## [74,] 55 55 55 54 55 55 55 55
## [75,] 55 55 55 54 55 55 56 56
## [76,] 55 55 55 54 55 56 56 56
## [77,] 55 55 55 54 55 56 56 56
## [78,] 55 55 55 54 56 56 56 56
## [79,] 56 56 56 54 56 56 56 56
## [80,] 56 56 56 55 56 56 56 56
## [81,] 56 56 56 55 56 56 56 56
## [82,] 56 56 56 55 56 56 56 56
## [83,] 56 56 56 55 56 56 56 56
## [,1137] [,1138] [,1139] [,1140] [,1141] [,1142] [,1143] [,1144]
## [1,] 30 31 32 33 33 33 33 33
## [2,] 39 40 41 42 42 42 42 42
## [3,] 46 47 48 49 49 49 49 49
## [4,] 49 50 52 53 54 54 54 54
## [5,] 50 51 53 55 56 56 56 56
## [6,] 50 51 53 55 56 56 56 56
## [7,] 50 51 53 55 56 56 56 56
## [8,] 50 51 53 55 56 56 56 56
## [9,] 50 51 54 55 56 56 56 56
## [10,] 50 51 54 55 56 56 56 56
## [11,] 50 51 54 55 56 56 56 56
## [12,] 51 51 54 55 56 56 56 56
## [13,] 51 51 54 55 56 56 56 56
## [14,] 51 51 54 55 56 56 56 56
## [15,] 51 51 54 56 56 56 56 56
## [16,] 51 51 54 56 56 56 56 56
## [17,] 51 51 54 56 56 56 56 57
## [18,] 51 51 54 56 56 56 57 57
## [19,] 51 51 54 56 56 56 57 57
## [20,] 51 51 54 56 56 56 57 57
## [21,] 51 51 54 56 56 57 57 57
## [22,] 51 51 54 56 56 57 57 57
## [23,] 51 51 55 56 56 57 57 57
## [24,] 52 52 55 56 56 57 57 57
## [25,] 52 52 55 56 56 57 57 57
## [26,] 52 52 55 56 56 57 57 57
## [27,] 52 52 55 56 57 57 57 57
## [28,] 52 52 55 56 57 57 57 57
## [29,] 52 52 55 56 57 57 57 57
## [30,] 52 52 55 56 57 57 57 57
## [31,] 52 52 55 56 57 57 57 57
## [32,] 52 52 55 56 57 57 57 57
## [33,] 52 52 55 56 57 57 57 57
## [34,] 52 52 55 56 57 57 57 57
## [35,] 52 53 55 56 57 57 57 57
## [36,] 53 53 56 57 57 57 57 57
## [37,] 53 53 56 57 57 57 57 57
## [38,] 53 53 56 57 57 57 57 57
## [39,] 53 53 56 57 57 57 57 57
## [40,] 53 53 56 57 57 57 57 57
## [41,] 53 53 56 57 57 57 57 57
## [42,] 53 53 56 57 57 57 57 57
## [43,] 53 53 56 57 57 57 57 57
## [44,] 53 53 56 57 57 57 57 57
## [45,] 53 53 56 57 57 57 57 57
## [46,] 53 53 56 57 57 57 57 57
## [47,] 53 55 57 57 57 57 57 58
## [48,] 53 55 57 57 57 57 57 58
## [49,] 53 55 57 57 57 57 57 58
## [50,] 53 55 57 57 57 57 57 58
## [51,] 54 55 57 57 57 57 57 58
## [52,] 54 55 57 57 57 57 57 58
## [53,] 54 55 57 57 57 57 58 58
## [54,] 54 55 57 57 57 57 58 58
## [55,] 54 55 57 57 57 57 58 58
## [56,] 54 55 57 57 57 57 58 58
## [57,] 54 56 57 57 57 57 58 58
## [58,] 54 56 57 57 57 58 58 58
## [59,] 54 56 57 57 57 58 58 58
## [60,] 54 56 57 57 57 58 58 58
## [61,] 54 56 57 57 57 58 58 58
## [62,] 54 56 57 57 57 58 58 58
## [63,] 55 56 57 57 57 58 58 58
## [64,] 55 56 57 57 57 58 58 58
## [65,] 55 56 57 57 58 58 58 58
## [66,] 55 56 57 57 58 58 58 58
## [67,] 55 57 57 57 58 58 58 58
## [68,] 55 57 57 57 58 58 58 58
## [69,] 55 57 57 57 58 58 58 58
## [70,] 55 57 57 57 58 58 58 59
## [71,] 55 57 57 57 58 58 58 59
## [72,] 55 57 57 57 58 58 58 59
## [73,] 55 57 57 57 58 58 58 59
## [74,] 55 57 57 57 58 58 58 59
## [75,] 56 57 57 58 58 58 58 59
## [76,] 56 57 57 58 58 58 59 59
## [77,] 56 57 57 58 58 58 59 59
## [78,] 56 57 57 58 58 58 59 59
## [79,] 56 57 57 58 58 58 59 59
## [80,] 56 57 57 58 58 58 59 59
## [81,] 56 57 57 58 58 58 59 59
## [82,] 56 57 57 58 58 58 59 59
## [83,] 56 57 57 58 58 59 59 59
## [,1145] [,1146] [,1147] [,1148] [,1149] [,1150] [,1151] [,1152]
## [1,] 33 33 34 34 34 33 33 33
## [2,] 42 42 43 42 42 41 41 41
## [3,] 49 49 50 49 48 47 47 47
## [4,] 54 54 54 52 51 50 50 50
## [5,] 56 56 55 53 51 51 50 50
## [6,] 56 56 56 53 51 51 51 51
## [7,] 56 56 56 53 52 51 51 51
## [8,] 56 56 56 53 52 51 51 51
## [9,] 56 56 56 53 52 51 51 51
## [10,] 56 56 56 53 52 51 51 51
## [11,] 56 56 56 53 52 51 51 51
## [12,] 56 56 56 53 52 52 52 52
## [13,] 56 56 56 53 52 52 52 52
## [14,] 56 56 57 53 52 52 52 52
## [15,] 56 57 57 53 52 52 52 52
## [16,] 57 57 57 53 52 52 52 52
## [17,] 57 57 57 53 53 53 53 53
## [18,] 57 57 57 54 53 53 53 53
## [19,] 57 57 57 54 53 53 53 53
## [20,] 57 57 57 54 53 53 53 53
## [21,] 57 57 57 54 53 53 53 53
## [22,] 57 57 57 54 53 53 53 53
## [23,] 57 57 56 54 53 53 53 53
## [24,] 57 57 56 54 54 54 54 54
## [25,] 57 57 56 54 54 54 54 54
## [26,] 57 57 56 54 54 54 54 54
## [27,] 57 57 56 54 54 54 54 54
## [28,] 57 57 56 55 54 54 54 54
## [29,] 57 57 56 55 54 54 54 54
## [30,] 57 57 56 55 55 55 55 55
## [31,] 57 57 56 55 55 55 55 55
## [32,] 57 57 56 55 55 55 55 55
## [33,] 57 57 56 55 55 55 55 55
## [34,] 57 57 56 55 55 55 55 55
## [35,] 57 57 56 56 56 56 56 56
## [36,] 57 57 56 56 56 56 56 56
## [37,] 57 57 56 56 56 56 56 56
## [38,] 57 57 56 56 56 56 56 56
## [39,] 57 57 56 56 56 56 56 56
## [40,] 57 57 57 56 56 56 56 56
## [41,] 57 57 57 57 57 57 57 57
## [42,] 57 57 57 57 57 57 57 57
## [43,] 57 57 57 57 57 57 57 57
## [44,] 58 57 57 57 57 57 57 57
## [45,] 58 58 58 58 58 58 58 58
## [46,] 58 58 58 58 58 58 58 58
## [47,] 58 58 58 58 58 58 58 58
## [48,] 58 58 58 58 58 58 58 58
## [49,] 58 58 58 58 58 58 58 58
## [50,] 58 58 58 58 58 58 58 58
## [51,] 58 58 58 58 58 58 58 58
## [52,] 58 58 58 58 58 58 58 58
## [53,] 58 58 58 58 58 58 58 59
## [54,] 58 58 58 58 58 58 59 59
## [55,] 58 58 58 58 58 58 59 59
## [56,] 58 58 58 58 58 59 59 59
## [57,] 58 58 58 58 58 59 59 59
## [58,] 58 58 58 58 59 59 59 59
## [59,] 58 58 58 58 59 59 59 59
## [60,] 58 58 58 59 59 59 59 59
## [61,] 58 58 58 59 59 59 59 59
## [62,] 58 58 58 59 59 59 59 59
## [63,] 58 58 59 59 59 59 59 59
## [64,] 58 58 59 59 59 59 59 59
## [65,] 58 58 59 59 59 59 59 59
## [66,] 58 59 59 59 59 59 59 59
## [67,] 58 59 59 59 59 59 59 59
## [68,] 59 59 59 59 59 59 59 59
## [69,] 59 59 59 59 59 59 59 59
## [70,] 59 59 59 59 59 59 59 59
## [71,] 59 59 59 59 59 59 59 59
## [72,] 59 59 59 59 59 59 59 59
## [73,] 59 59 59 59 59 59 59 59
## [74,] 59 59 59 59 59 59 59 59
## [75,] 59 59 59 59 59 59 59 59
## [76,] 59 59 59 59 59 59 59 60
## [77,] 59 59 59 59 59 59 60 60
## [78,] 59 59 59 59 59 59 60 60
## [79,] 59 59 59 59 59 60 60 60
## [80,] 59 59 59 59 59 60 60 60
## [81,] 59 59 59 59 60 60 60 60
## [82,] 59 59 59 59 60 60 60 60
## [83,] 59 59 59 59 60 60 60 60
## [,1153] [,1154] [,1155] [,1156] [,1157] [,1158] [,1159] [,1160]
## [1,] 34 34 35 35 35 35 35 34
## [2,] 41 41 42 42 42 42 42 41
## [3,] 47 47 47 47 47 47 46 45
## [4,] 50 50 50 50 50 49 48 46
## [5,] 50 50 50 50 50 50 47 46
## [6,] 50 50 50 50 50 50 47 46
## [7,] 51 51 51 51 51 51 48 46
## [8,] 51 51 51 51 51 51 48 46
## [9,] 51 51 51 51 51 51 48 46
## [10,] 51 51 51 51 51 51 48 47
## [11,] 51 51 51 51 51 51 48 47
## [12,] 52 52 52 52 52 52 49 47
## [13,] 52 52 52 52 52 52 49 48
## [14,] 52 52 52 52 52 52 49 48
## [15,] 52 52 52 52 52 52 49 48
## [16,] 52 52 52 52 52 52 49 48
## [17,] 53 53 53 53 53 53 50 49
## [18,] 53 53 53 53 53 53 50 49
## [19,] 53 53 53 53 53 53 50 49
## [20,] 53 53 53 53 53 53 50 49
## [21,] 53 53 53 53 53 53 51 50
## [22,] 53 53 53 53 53 53 51 50
## [23,] 53 53 53 53 54 54 51 51
## [24,] 54 54 54 54 54 54 51 51
## [25,] 54 54 54 54 54 54 52 51
## [26,] 54 54 54 54 54 54 52 51
## [27,] 54 54 54 54 54 54 52 52
## [28,] 54 54 54 54 55 55 52 52
## [29,] 54 54 54 55 55 55 53 52
## [30,] 55 55 55 55 55 55 53 53
## [31,] 55 55 55 55 55 55 53 53
## [32,] 55 55 55 55 55 55 54 53
## [33,] 55 55 55 55 55 55 54 54
## [34,] 55 55 55 56 56 56 54 54
## [35,] 56 56 56 56 56 56 55 54
## [36,] 56 56 56 56 56 56 55 55
## [37,] 56 56 56 56 56 56 55 55
## [38,] 56 56 56 56 56 56 55 55
## [39,] 56 56 56 56 56 56 56 56
## [40,] 56 56 56 57 57 57 56 56
## [41,] 57 57 57 57 57 57 56 56
## [42,] 57 57 57 57 57 57 57 56
## [43,] 57 57 57 57 57 57 57 57
## [44,] 57 57 57 57 57 57 57 57
## [45,] 58 58 58 58 58 58 58 58
## [46,] 58 58 58 58 58 58 58 58
## [47,] 58 58 58 58 58 59 59 59
## [48,] 58 58 58 58 59 59 59 59
## [49,] 58 58 58 58 58 58 59 59
## [50,] 58 58 58 58 58 58 58 58
## [51,] 58 58 58 58 58 58 58 58
## [52,] 58 58 58 58 58 58 58 58
## [53,] 59 59 59 59 59 59 59 59
## [54,] 59 59 59 59 59 59 59 59
## [55,] 59 59 59 59 59 59 59 59
## [56,] 59 59 59 59 59 59 59 59
## [57,] 59 59 59 59 59 59 59 59
## [58,] 59 59 59 59 59 59 59 59
## [59,] 59 59 59 59 59 59 59 59
## [60,] 59 59 59 59 59 59 59 59
## [61,] 59 59 59 59 59 59 59 59
## [62,] 59 59 59 59 59 59 59 59
## [63,] 59 59 59 59 59 59 59 59
## [64,] 59 59 59 59 59 59 59 60
## [65,] 59 59 59 59 59 59 59 60
## [66,] 59 59 59 59 59 59 60 60
## [67,] 59 59 59 59 59 60 60 60
## [68,] 59 59 59 59 60 60 60 60
## [69,] 59 59 59 59 60 60 60 60
## [70,] 59 59 59 60 60 60 60 60
## [71,] 59 59 59 60 60 60 60 60
## [72,] 59 59 60 60 60 60 60 60
## [73,] 59 60 60 60 60 60 60 60
## [74,] 59 60 60 60 60 60 60 60
## [75,] 60 60 60 60 60 60 60 60
## [76,] 60 60 60 60 60 60 60 60
## [77,] 60 60 60 60 60 60 60 60
## [78,] 60 60 60 60 60 60 60 60
## [79,] 60 60 60 60 60 60 60 60
## [80,] 60 60 60 60 60 60 60 60
## [81,] 60 60 60 60 60 60 60 60
## [82,] 60 60 60 60 60 60 60 60
## [83,] 60 60 60 60 60 60 60 60
## [,1161] [,1162] [,1163] [,1164] [,1165] [,1166] [,1167] [,1168]
## [1,] 34 33 32 32 32 32 33 33
## [2,] 39 38 37 36 35 35 35 37
## [3,] 43 42 40 38 38 38 38 40
## [4,] 45 43 41 39 39 38 39 41
## [5,] 45 43 40 39 39 39 40 42
## [6,] 45 43 40 39 39 39 40 42
## [7,] 45 44 41 40 39 39 40 42
## [8,] 46 44 41 40 40 40 41 43
## [9,] 46 44 42 41 41 40 41 44
## [10,] 46 44 42 41 41 41 42 45
## [11,] 46 45 43 42 42 42 42 45
## [12,] 47 45 43 42 42 42 42 46
## [13,] 47 46 43 42 42 42 42 46
## [14,] 47 45 44 43 43 43 43 47
## [15,] 48 45 44 43 43 43 43 47
## [16,] 48 45 44 44 44 44 44 47
## [17,] 48 46 44 44 44 44 44 48
## [18,] 49 46 45 45 45 45 45 48
## [19,] 49 46 45 45 45 45 45 49
## [20,] 49 47 46 46 46 46 47 49
## [21,] 50 47 46 46 46 46 48 50
## [22,] 50 48 47 47 47 47 48 50
## [23,] 50 48 47 47 47 47 49 51
## [24,] 51 48 48 48 48 48 49 51
## [25,] 51 49 48 48 48 48 49 51
## [26,] 51 49 49 49 49 49 50 52
## [27,] 52 49 49 49 49 49 50 52
## [28,] 52 50 50 49 49 50 51 53
## [29,] 52 50 50 50 50 50 51 53
## [30,] 53 51 51 51 51 51 53 53
## [31,] 53 51 51 51 51 51 53 54
## [32,] 53 52 51 51 51 52 54 54
## [33,] 54 52 52 52 52 52 54 54
## [34,] 54 53 52 52 52 53 55 55
## [35,] 54 53 53 53 53 53 55 55
## [36,] 55 54 53 53 53 54 55 56
## [37,] 55 54 54 54 54 54 55 56
## [38,] 55 54 54 54 54 55 56 56
## [39,] 56 55 55 55 55 55 56 57
## [40,] 56 55 55 55 55 56 57 57
## [41,] 56 56 56 56 56 56 57 57
## [42,] 56 56 56 56 56 57 57 58
## [43,] 57 57 57 57 57 57 58 58
## [44,] 57 57 57 57 57 58 58 59
## [45,] 58 58 58 58 58 58 59 59
## [46,] 59 59 59 59 59 59 59 59
## [47,] 59 59 59 59 59 59 59 59
## [48,] 59 59 59 59 59 59 59 59
## [49,] 59 59 59 59 59 59 59 59
## [50,] 58 58 59 59 59 59 59 59
## [51,] 58 58 59 59 59 59 59 59
## [52,] 58 58 58 59 59 59 59 59
## [53,] 59 59 59 59 59 59 59 59
## [54,] 59 59 59 59 59 59 59 59
## [55,] 59 59 59 59 59 59 59 59
## [56,] 59 59 59 59 59 59 59 59
## [57,] 59 59 59 59 59 59 59 59
## [58,] 59 59 59 59 59 59 59 59
## [59,] 59 59 59 59 59 59 59 59
## [60,] 59 59 59 59 59 59 59 60
## [61,] 59 59 59 59 59 60 60 60
## [62,] 59 59 60 60 60 60 60 60
## [63,] 59 60 60 60 60 60 60 60
## [64,] 60 60 60 60 60 60 60 60
## [65,] 60 60 60 60 60 60 60 60
## [66,] 60 60 60 60 60 60 60 60
## [67,] 60 60 60 60 60 60 60 60
## [68,] 60 60 60 60 60 60 60 60
## [69,] 60 60 60 60 60 60 60 60
## [70,] 60 60 60 60 60 60 60 60
## [71,] 60 60 60 60 60 60 60 60
## [72,] 60 60 60 60 60 60 60 60
## [73,] 60 60 60 60 60 60 60 60
## [74,] 60 60 60 60 60 60 60 60
## [75,] 60 60 60 60 60 60 60 60
## [76,] 60 60 60 60 60 60 60 60
## [77,] 60 60 60 60 60 60 60 60
## [78,] 60 60 60 60 60 60 60 60
## [79,] 60 60 60 60 60 60 60 60
## [80,] 60 60 60 60 60 60 60 60
## [81,] 60 60 60 60 60 60 60 60
## [82,] 60 60 60 60 60 60 60 60
## [83,] 60 60 60 60 60 60 60 60
## [,1169] [,1170] [,1171] [,1172] [,1173] [,1174] [,1175] [,1176]
## [1,] 34 35 35 34 34 34 34 34
## [2,] 38 39 39 38 37 36 36 36
## [3,] 41 42 41 40 38 38 38 38
## [4,] 43 43 41 40 39 38 38 38
## [5,] 44 44 41 40 39 39 39 39
## [6,] 44 44 42 40 40 39 39 39
## [7,] 44 44 42 41 40 40 40 39
## [8,] 45 45 43 41 40 40 40 40
## [9,] 45 45 43 42 41 41 41 40
## [10,] 46 46 43 42 42 41 41 41
## [11,] 46 46 44 42 42 42 42 41
## [12,] 47 47 44 43 43 43 42 42
## [13,] 47 47 45 43 43 43 43 42
## [14,] 48 48 45 44 44 43 43 42
## [15,] 48 48 45 44 44 44 43 43
## [16,] 48 49 46 45 45 44 44 43
## [17,] 49 49 46 45 45 45 44 44
## [18,] 49 49 47 46 46 46 45 44
## [19,] 49 50 47 46 46 46 45 45
## [20,] 50 50 48 47 47 46 46 45
## [21,] 50 51 48 48 47 47 46 46
## [22,] 51 51 49 48 48 48 47 46
## [23,] 51 51 49 48 48 48 47 47
## [24,] 51 52 49 49 49 49 48 47
## [25,] 52 52 50 49 49 49 48 47
## [26,] 52 52 50 50 50 49 49 48
## [27,] 53 53 51 50 51 50 49 49
## [28,] 53 53 51 51 51 51 50 49
## [29,] 53 53 52 52 52 51 50 50
## [30,] 54 54 52 52 52 52 51 51
## [31,] 54 54 53 53 53 52 52 51
## [32,] 54 55 53 53 53 53 52 51
## [33,] 55 55 54 54 54 53 53 52
## [34,] 55 55 54 55 55 54 53 53
## [35,] 56 56 55 55 55 54 54 53
## [36,] 56 56 55 55 56 55 54 53
## [37,] 56 56 56 56 56 55 55 54
## [38,] 56 57 56 56 56 56 55 54
## [39,] 57 57 57 57 57 56 56 55
## [40,] 57 57 57 58 58 57 56 56
## [41,] 58 58 58 58 58 58 57 56
## [42,] 58 58 58 59 59 58 58 57
## [43,] 58 59 59 59 59 59 58 58
## [44,] 59 59 59 60 60 60 59 58
## [45,] 59 60 60 60 60 60 60 59
## [46,] 60 60 60 60 60 60 60 60
## [47,] 60 60 60 60 60 60 60 60
## [48,] 59 60 60 60 60 60 60 60
## [49,] 59 59 60 60 60 60 60 60
## [50,] 59 59 59 60 60 60 60 60
## [51,] 59 59 59 60 60 60 60 60
## [52,] 59 59 59 59 60 60 60 60
## [53,] 59 59 59 59 60 60 60 60
## [54,] 59 59 59 59 60 60 60 60
## [55,] 59 59 59 60 60 60 60 60
## [56,] 59 59 59 59 60 60 60 60
## [57,] 59 59 59 59 59 59 59 60
## [58,] 59 59 59 59 59 59 59 59
## [59,] 59 59 59 59 59 59 59 59
## [60,] 60 60 60 60 60 60 60 60
## [61,] 60 60 60 60 60 60 60 60
## [62,] 60 60 60 60 60 60 60 60
## [63,] 60 60 60 60 60 60 60 60
## [64,] 60 60 60 60 60 60 60 60
## [65,] 60 60 60 60 60 60 60 60
## [66,] 60 60 60 60 60 60 60 60
## [67,] 60 60 60 60 60 60 60 60
## [68,] 60 60 60 60 60 60 60 60
## [69,] 60 60 60 60 60 60 60 60
## [70,] 60 60 60 60 60 60 60 60
## [71,] 60 60 60 60 60 60 60 60
## [72,] 60 60 60 60 60 60 60 60
## [73,] 60 60 60 60 60 60 60 60
## [74,] 60 60 60 60 60 60 60 60
## [75,] 60 60 60 60 60 60 60 60
## [76,] 60 60 60 60 60 60 60 60
## [77,] 60 60 60 60 60 60 60 60
## [78,] 60 60 60 60 60 60 60 60
## [79,] 60 60 60 60 60 60 60 60
## [80,] 60 60 60 60 60 60 60 60
## [81,] 60 60 60 60 60 60 60 60
## [82,] 60 60 60 60 60 60 60 60
## [83,] 60 60 60 60 60 60 60 60
## [,1177] [,1178] [,1179] [,1180] [,1181] [,1182] [,1183] [,1184]
## [1,] 35 36 38 39 40 40 39 38
## [2,] 37 38 38 38 38 38 37 36
## [3,] 38 38 38 37 37 37 35 34
## [4,] 38 38 38 38 38 37 35 33
## [5,] 39 38 38 38 38 38 35 33
## [6,] 39 39 38 38 38 38 35 33
## [7,] 39 39 39 39 38 38 35 34
## [8,] 40 39 39 39 38 38 35 34
## [9,] 40 40 39 39 39 38 35 34
## [10,] 40 40 40 39 39 38 35 34
## [11,] 41 40 40 39 39 38 36 35
## [12,] 41 41 40 40 39 38 36 35
## [13,] 42 41 40 40 39 38 36 35
## [14,] 42 41 41 40 39 38 36 35
## [15,] 42 42 41 40 39 38 37 36
## [16,] 43 42 41 40 39 38 37 36
## [17,] 43 42 41 41 39 38 37 37
## [18,] 43 42 42 41 40 39 38 37
## [19,] 44 43 42 41 40 39 38 37
## [20,] 44 44 43 42 41 40 39 38
## [21,] 45 44 44 43 42 41 40 39
## [22,] 46 45 44 43 42 42 41 40
## [23,] 46 45 45 44 43 42 42 41
## [24,] 46 46 45 44 43 43 42 41
## [25,] 47 46 46 45 44 43 42 42
## [26,] 48 47 46 46 45 44 43 43
## [27,] 48 48 47 46 45 45 44 44
## [28,] 49 48 48 47 46 45 45 44
## [29,] 49 49 48 47 46 46 45 45
## [30,] 50 49 49 48 47 46 46 45
## [31,] 50 50 49 48 47 47 46 46
## [32,] 51 50 49 48 48 47 47 46
## [33,] 51 51 50 49 48 48 47 46
## [34,] 52 51 50 49 49 48 47 47
## [35,] 52 51 51 50 49 48 48 47
## [36,] 53 52 51 50 49 49 48 48
## [37,] 53 52 51 51 50 49 49 48
## [38,] 53 53 52 51 50 50 49 49
## [39,] 54 54 53 52 51 51 50 49
## [40,] 55 55 54 53 52 52 51 50
## [41,] 56 55 54 53 53 52 52 51
## [42,] 56 56 55 54 53 53 52 52
## [43,] 57 56 55 54 54 53 53 52
## [44,] 58 56 56 55 54 53 53 52
## [45,] 58 57 56 55 55 54 53 52
## [46,] 60 58 57 56 56 55 54 53
## [47,] 60 60 59 58 58 57 56 55
## [48,] 60 60 60 60 60 59 58 57
## [49,] 60 60 60 60 60 60 60 59
## [50,] 60 60 62 62 60 60 60 60
## [51,] 60 61 64 67 64 60 60 60
## [52,] 60 63 69 76 71 65 62 60
## [53,] 60 65 74 88 77 70 65 61
## [54,] 60 64 74 84 81 73 67 62
## [55,] 60 60 60 65 72 71 67 62
## [56,] 60 60 60 60 62 63 64 62
## [57,] 60 60 60 60 60 61 61 61
## [58,] 60 60 60 60 60 60 60 60
## [59,] 60 60 60 60 60 60 60 60
## [60,] 60 60 60 60 60 60 60 60
## [61,] 60 60 60 60 60 60 60 60
## [62,] 60 60 60 60 60 60 60 60
## [63,] 60 60 60 60 60 60 60 60
## [64,] 60 60 60 60 60 60 60 60
## [65,] 60 60 60 60 60 60 60 60
## [66,] 60 60 60 60 60 60 60 60
## [67,] 60 60 60 60 60 60 60 60
## [68,] 60 60 60 60 60 60 60 60
## [69,] 60 60 60 60 60 60 60 60
## [70,] 60 60 60 60 60 60 60 60
## [71,] 60 60 60 60 60 60 60 60
## [72,] 60 60 60 60 60 60 60 60
## [73,] 60 60 60 60 60 60 60 60
## [74,] 60 60 60 60 60 60 60 60
## [75,] 60 60 60 60 60 60 60 60
## [76,] 60 60 60 60 60 60 60 60
## [77,] 60 60 60 60 60 60 60 60
## [78,] 60 60 60 60 60 60 60 60
## [79,] 60 60 60 60 60 60 60 60
## [80,] 60 60 60 60 60 60 60 60
## [81,] 60 60 60 60 60 60 60 60
## [82,] 60 60 60 60 60 60 60 60
## [83,] 60 60 60 60 60 60 60 60
## [,1185] [,1186] [,1187] [,1188] [,1189] [,1190] [,1191] [,1192]
## [1,] 38 37 36 35 35 34 33 32
## [2,] 35 34 34 33 33 32 32 31
## [3,] 33 32 32 31 32 31 31 30
## [4,] 32 32 32 31 31 31 30 29
## [5,] 32 32 32 32 32 31 30 30
## [6,] 33 32 32 32 31 31 30 29
## [7,] 33 32 32 32 31 30 30 29
## [8,] 33 33 32 31 31 30 30 29
## [9,] 33 33 32 31 31 30 29 29
## [10,] 34 33 32 32 31 30 29 29
## [11,] 34 33 32 32 31 30 29 29
## [12,] 34 33 32 32 31 30 29 29
## [13,] 34 33 33 32 31 30 30 29
## [14,] 35 34 33 32 31 30 30 29
## [15,] 35 34 33 32 31 30 30 29
## [16,] 35 35 34 33 32 31 30 30
## [17,] 36 35 34 33 32 31 31 30
## [18,] 36 35 34 33 32 32 31 31
## [19,] 37 36 35 34 33 32 32 31
## [20,] 38 37 36 35 34 33 33 32
## [21,] 39 38 37 35 35 34 34 33
## [22,] 39 39 37 36 36 35 35 34
## [23,] 40 39 38 37 37 36 35 35
## [24,] 41 40 39 38 38 37 36 36
## [25,] 41 41 40 39 39 38 37 37
## [26,] 42 42 41 40 39 39 38 38
## [27,] 43 42 42 41 40 39 39 39
## [28,] 44 43 42 41 40 40 40 39
## [29,] 44 43 42 42 41 40 40 39
## [30,] 44 44 43 42 41 41 40 40
## [31,] 45 44 43 42 42 41 41 40
## [32,] 45 44 43 43 42 42 41 40
## [33,] 46 45 44 43 43 42 41 41
## [34,] 46 45 44 44 43 42 42 41
## [35,] 47 46 45 44 44 43 42 41
## [36,] 47 46 45 45 44 43 43 42
## [37,] 47 46 46 45 44 44 43 42
## [38,] 48 47 46 46 45 44 44 43
## [39,] 49 48 47 46 46 45 45 44
## [40,] 49 49 48 47 47 46 46 45
## [41,] 50 49 48 48 47 47 46 45
## [42,] 51 49 49 48 48 47 46 46
## [43,] 51 50 49 49 48 47 46 46
## [44,] 51 50 49 49 48 47 46 45
## [45,] 51 50 49 49 48 48 47 46
## [46,] 52 51 51 50 49 49 48 47
## [47,] 54 53 52 52 51 51 50 49
## [48,] 56 55 55 55 55 54 54 53
## [49,] 59 58 58 59 59 59 58 57
## [50,] 60 61 60 60 60 59 59 58
## [51,] 60 60 60 60 60 60 60 59
## [52,] 60 60 60 60 60 60 60 60
## [53,] 60 60 60 60 60 60 60 60
## [54,] 60 60 60 60 60 60 60 60
## [55,] 60 60 60 60 60 60 60 60
## [56,] 60 60 60 60 60 60 60 60
## [57,] 60 60 60 60 60 60 61 61
## [58,] 60 59 60 60 60 61 61 62
## [59,] 60 60 60 60 60 60 60 61
## [60,] 60 58 59 60 62 64 66 68
## [61,] 60 57 59 60 63 67 70 73
## [62,] 60 56 58 60 65 70 74 79
## [63,] 60 55 58 61 67 72 78 83
## [64,] 60 54 58 61 68 75 82 88
## [65,] 60 53 57 61 69 77 84 91
## [66,] 60 54 57 61 70 77 85 92
## [67,] 60 54 58 61 70 77 85 92
## [68,] 60 54 57 61 69 77 84 91
## [69,] 60 54 57 60 66 72 78 84
## [70,] 60 55 57 60 63 67 72 76
## [71,] 60 57 58 60 62 64 67 69
## [72,] 60 59 59 60 61 62 63 64
## [73,] 60 60 60 60 60 60 61 61
## [74,] 60 60 60 60 60 60 60 60
## [75,] 60 60 60 60 60 60 60 60
## [76,] 60 60 60 60 60 60 60 60
## [77,] 60 60 60 60 60 60 60 60
## [78,] 60 60 60 60 60 60 60 60
## [79,] 60 60 60 60 60 60 60 60
## [80,] 60 60 60 60 60 60 60 60
## [81,] 60 60 60 60 60 60 60 60
## [82,] 60 60 60 60 60 60 60 60
## [83,] 60 60 60 60 60 60 60 60
## [,1193] [,1194] [,1195] [,1196] [,1197] [,1198] [,1199] [,1200]
## [1,] 31 30 29 29 29 30 30 30
## [2,] 29 29 28 29 29 29 30 30
## [3,] 27 26 26 27 28 28 29 30
## [4,] 26 26 26 27 28 29 30 31
## [5,] 26 26 26 28 29 30 31 33
## [6,] 26 26 26 28 30 31 33 37
## [7,] 28 27 26 26 27 29 32 39
## [8,] 28 27 27 27 28 30 33 40
## [9,] 28 27 27 26 28 30 33 42
## [10,] 28 27 27 26 28 30 33 42
## [11,] 29 27 26 26 27 29 32 41
## [12,] 28 28 27 26 26 27 29 38
## [13,] 28 28 27 26 26 26 28 32
## [14,] 28 28 27 26 26 26 28 31
## [15,] 30 28 26 25 25 26 28 34
## [16,] 30 28 26 25 25 26 28 34
## [17,] 30 28 26 25 25 26 28 33
## [18,] 28 28 28 29 29 30 31 33
## [19,] 31 29 28 26 26 27 29 31
## [20,] 32 30 29 27 27 28 30 32
## [21,] 33 32 30 29 29 30 32 33
## [22,] 33 33 32 32 31 31 32 36
## [23,] 34 33 33 32 32 32 33 35
## [24,] 35 34 34 33 32 32 33 35
## [25,] 36 35 35 34 34 34 35 36
## [26,] 37 37 37 36 36 36 37 38
## [27,] 38 38 37 37 37 37 38 39
## [28,] 39 38 38 37 37 37 38 39
## [29,] 39 38 38 37 37 37 38 39
## [30,] 39 39 38 38 37 37 38 39
## [31,] 39 39 38 38 37 37 38 39
## [32,] 39 39 39 38 38 38 39 40
## [33,] 40 39 39 38 38 38 38 40
## [34,] 40 39 39 38 38 38 39 40
## [35,] 40 40 39 39 38 38 38 40
## [36,] 41 40 40 39 39 38 38 41
## [37,] 41 41 40 39 39 39 39 41
## [38,] 42 41 41 40 40 40 40 42
## [39,] 43 42 42 41 41 41 42 43
## [40,] 44 44 43 43 43 43 44 45
## [41,] 45 44 44 43 43 43 44 46
## [42,] 45 44 44 43 43 44 44 46
## [43,] 45 45 44 44 43 43 43 45
## [44,] 45 44 43 42 41 42 43 44
## [45,] 46 44 43 41 41 41 42 44
## [46,] 44 44 44 44 44 45 45 45
## [47,] 46 46 46 46 46 46 47 46
## [48,] 50 49 49 49 49 49 49 48
## [49,] 53 52 52 51 51 51 51 50
## [50,] 58 56 56 55 54 54 53 53
## [51,] 61 59 58 55 54 54 54 54
## [52,] 59 59 59 58 58 58 58 58
## [53,] 60 60 59 58 58 57 58 59
## [54,] 60 60 60 59 59 59 59 60
## [55,] 59 60 60 61 61 62 62 63
## [56,] 60 60 60 62 62 63 64 66
## [57,] 60 61 63 64 66 67 68 70
## [58,] 62 65 66 68 69 71 72 74
## [59,] 64 68 71 72 74 75 77 79
## [60,] 73 75 78 80 81 82 83 83
## [61,] 81 84 86 88 88 89 90 90
## [62,] 90 93 96 97 97 98 98 98
## [63,] 96 99 103 104 104 105 105 105
## [64,] 102 107 110 110 110 111 111 111
## [65,] 107 112 114 114 114 114 115 114
## [66,] 103 111 116 119 122 122 122 119
## [67,] 106 111 115 115 116 118 119 121
## [68,] 105 111 115 115 117 118 120 121
## [69,] 96 103 107 109 111 114 117 118
## [70,] 84 89 94 98 102 106 110 113
## [71,] 72 78 82 88 93 98 102 107
## [72,] 62 68 71 78 84 90 96 100
## [73,] 58 61 65 72 78 84 90 94
## [74,] 56 59 62 69 74 80 86 91
## [75,] 56 59 62 68 73 78 83 87
## [76,] 56 59 62 67 71 76 81 84
## [77,] 57 59 61 66 70 74 79 81
## [78,] 57 59 61 66 70 73 77 79
## [79,] 56 58 60 65 69 73 77 78
## [80,] 56 58 60 64 68 72 77 78
## [81,] 55 57 60 64 68 73 77 78
## [82,] 55 57 60 64 68 73 78 79
## [83,] 55 57 60 64 69 73 78 79
## [,1201]
## [1,] 31
## [2,] 31
## [3,] 31
## [4,] 32
## [5,] 34
## [6,] 37
## [7,] 41
## [8,] 43
## [9,] 45
## [10,] 45
## [11,] 44
## [12,] 41
## [13,] 37
## [14,] 36
## [15,] 37
## [16,] 37
## [17,] 36
## [18,] 35
## [19,] 35
## [20,] 36
## [21,] 37
## [22,] 38
## [23,] 38
## [24,] 38
## [25,] 39
## [26,] 40
## [27,] 41
## [28,] 41
## [29,] 41
## [30,] 41
## [31,] 41
## [32,] 42
## [33,] 42
## [34,] 43
## [35,] 43
## [36,] 43
## [37,] 43
## [38,] 44
## [39,] 45
## [40,] 47
## [41,] 48
## [42,] 48
## [43,] 48
## [44,] 48
## [45,] 47
## [46,] 47
## [47,] 48
## [48,] 50
## [49,] 52
## [50,] 54
## [51,] 56
## [52,] 59
## [53,] 61
## [54,] 62
## [55,] 64
## [56,] 67
## [57,] 70
## [58,] 75
## [59,] 79
## [60,] 83
## [61,] 89
## [62,] 96
## [63,] 103
## [64,] 109
## [65,] 112
## [66,] 115
## [67,] 120
## [68,] 122
## [69,] 120
## [70,] 117
## [71,] 113
## [72,] 107
## [73,] 102
## [74,] 99
## [75,] 96
## [76,] 92
## [77,] 89
## [78,] 87
## [79,] 87
## [80,] 87
## [81,] 88
## [82,] 89
## [83,] 89
## [ reached getOption("max.print") -- omitted 1118 rows ]
Notice that we were able to use ncol on our RasterLayer object, because in some basic senses it behaves like a matrix, much as a Spatial*DataFrame behaves in some senses like a data.frame.
Could we then create a new RasterLayer object from that matrix?
test = raster(matrix(DEM[,], ncol = ncol(DEM), byrow = TRUE)) test
## class : RasterLayer ## dimensions : 1201, 1201, 1442401 (nrow, ncol, ncell) ## resolution : 0.0008326395, 0.0008326395 (x, y) ## extent : 0, 1, 0, 1 (xmin, xmax, ymin, ymax) ## coord. ref. : NA ## data source : in memory ## names : layer ## values : 0, 976 (min, max)
We do get a new RasterLayer! However, notice that it of course has no projection, and has incorrect extent and resolution.
We won't do this in the workshop, but you could imagine that you could then use the DEM object's information to assign the new RasterLayer its appropriate metadata (much like what we did with unprojected point data that we read in from a CSV and coerced to a SpatialPointsDataFrame).
What does the @data@values slot look like in our new object now?
test@data@values
## [1] 120 120 117 111 104 98 92 89 87 85 82 80 79 76 72 67 57
## [18] 45 32 20 12 6 3 1 0 0 0 0 0 0 0 0 0 0
## [35] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [52] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [69] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [86] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [103] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [120] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [137] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [154] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [171] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [188] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [205] 0 1 3 11 19 27 33 40 51 59 70 69 91 108 123 140 158
## [222] 168 185 196 204 205 204 194 195 186 172 164 152 135 118 101 81 69
## [239] 62 54 50 53 53 54 56 58 74 91 107 126 143 162 174 202 223
## [256] 234 246 260 282 308 336 367 383 385 379 371 359 345 325 311 280 259
## [273] 249 236 226 215 202 188 170 157 145 130 118 109 101 95 89 86 83
## [290] 81 82 79 79 85 90 96 99 100 103 111 119 122 123 124 125 128
## [307] 143 158 168 175 182 188 192 209 222 226 234 250 265 279 291 304 306
## [324] 305 326 344 355 367 379 389 395 395 391 380 371 365 352 329 314 300
## [341] 281 271 259 239 214 188 172 158 140 122 112 110 110 115 146 173 180
## [358] 182 212 243 263 275 282 265 249 218 202 198 191 189 194 194 196 193
## [375] 192 198 216 231 239 242 246 249 262 274 284 294 302 306 322 342 357
## [392] 368 374 371 362 357 357 355 356 360 368 376 379 387 397 406 418 419
## [409] 431 434 432 426 420 414 407 403 397 388 378 368 355 345 333 325 313
## [426] 302 295 288 281 273 259 249 237 224 215 211 216 218 230 235 250 249
## [443] 267 285 295 311 324 317 314 305 284 265 253 243 233 222 211 216 217
## [460] 220 216 202 187 180 155 136 126 134 130 123 114 103 94 88 76 67
## [477] 62 58 56 59 67 76 84 90 92 89 84 80 80 88 99 112 126
## [494] 141 156 169 178 183 180 172 160 146 133 119 106 94 84 76 68 63
## [511] 59 57 57 58 60 63 69 76 86 96 106 116 120 116 110 101 92
## [528] 83 74 68 62 57 52 48 46 44 43 43 44 45 47 48 47 45
## [545] 42 39 36 34 33 31 30 30 29 29 29 29 29 28 28 28 28
## [562] 28 28 29 30 31 32 33 34 35 36 38 40 42 45 51 59 69
## [579] 81 94 108 123 136 147 157 162 165 167 170 174 180 187 195 204 213
## [596] 218 214 208 200 189 175 162 147 135 127 126 129 128 121 112 101 90
## [613] 80 72 64 60 60 62 65 71 79 88 97 106 108 107 102 95 87
## [630] 79 72 66 61 57 53 50 47 43 40 36 32 28 24 20 16 13
## [647] 9 6 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0
## [664] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [681] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [698] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [715] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [732] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [749] 0 0 0 0 0 0 0 0 0 0 0 1 1 3 6 9 13
## [766] 17 20 21 22 22 22 21 21 21 21 21 20 20 20 19 19 19
## [783] 19 19 20 20 20 21 22 22 22 22 22 22 22 22 22 22 23
## [800] 24 24 24 25 25 25 25 26 27 28 29 30 31 32 32 33 33
## [817] 34 35 36 37 38 39 40 42 45 49 52 56 58 60 61 62 63
## [834] 66 68 70 72 72 72 70 67 64 61 57 54 52 50 48 47 46
## [851] 44 41 38 34 31 29 29 31 34 37 41 44 48 51 54 56 58
## [868] 60 61 63 65 68 70 74 77 79 79 79 80 80 81 82 82 82
## [885] 81 80 78 76 74 71 68 64 61 59 58 58 57 57 56 56 56
## [902] 56 57 58 60 62 66 70 75 81 87 94 100 105 110 114 118 123
## [919] 129 137 145 152 159 163 168 173 177 179 179 179 179 180 182 186 189
## [936] 187 180 170 158 147 138 131 130 132 137 140 138 133 125 117 109 104
## [953] 99 97 98 100 102 105 108 110 111 113 117 122 129 138 147 156 164
## [970] 169 173 175 176 178 179 180 182 185 188 191 193 194 194 193 193 193
## [987] 193 192 191 191 191 191 190 189 190 196 206 205 196 192 185 184 185
## [1004] 189 193 196 199 200 200 199 207 198 179 159 142 127 116 109 108 109
## [1021] 112 116 120 124 127 129 132 135 137 138 137 133 126 117 106 95 82
## [1038] 71 61 53 48 45 43 42 42 43 45 48 51 56 60 62 63 62
## [1055] 60 58 55 52 49 46 43 41 39 37 37 36 36 36 37 37 38
## [1072] 38 38 38 37 37 36 36 36 36 36 35 35 36 38 41 44 47
## [1089] 50 53 56 58 59 60 61 62 62 63 62 60 57 53 48 44 40
## [1106] 36 34 32 29 27 24 22 20 19 18 17 17 17 17 18 19 20
## [1123] 21 22 23 24 25 26 27 28 29 29 29 29 30 30 30 31 32
## [1140] 33 33 33 33 33 33 33 34 34 34 33 33 33 34 34 35 35
## [1157] 35 35 35 34 34 33 32 32 32 32 33 33 34 35 35 34 34
## [1174] 34 34 34 35 36 38 39 40 40 39 38 38 37 36 35 35 34
## [1191] 33 32 31 30 29 29 29 30 30 30 31 123 123 118 109 102 96
## [1208] 89 85 83 82 81 80 79 76 72 67 57 45 32 19 11 6 3
## [1225] 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [1242] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [1259] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [1276] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [1293] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [1310] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [1327] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [1344] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [1361] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [1378] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [1395] 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 16 23
## [1412] 29 36 49 56 61 64 88 104 121 139 158 170 186 197 203 204 203
## [1429] 193 186 180 169 159 149 134 117 100 81 69 61 52 47 44 47 52
## [1446] 56 59 75 92 107 126 143 160 172 201 223 232 240 257 280 304 334
## [1463] 366 382 385 381 373 360 345 325 311 280 259 254 247 235 222 208 195
## [1480] 183 163 147 135 126 118 111 105 98 95 94 93 91 88 87 89 94
## [1497] 99 101 101 103 111 119 123 125 124 123 122 141 157 168 176 183 190
## [1514] 195 210 223 232 238 251 266 279 291 304 307 306 327 344 355 367 378
## [1531] 388 393 393 391 382 372 367 353 329 314 300 289 277 266 254 221 191
## [1548] 173 159 141 131 124 117 113 116 147 173 182 184 214 243 263 275 279
## [1565] 264 249 218 202 191 186 186 186 187 190 187 184 195 214 230 233 232
## [1582] 233 237 257 272 281 289 300 303 320 341 356 369 377 376 370 367 365
## [1599] 362 362 366 372 378 385 392 400 409 419 425 433 439 437 432 428 422
## [1616] 416 410 404 392 380 371 362 352 342 330 317 304 298 295 290 279 266
## [1633] 253 242 234 227 222 223 227 234 239 252 251 268 285 297 314 326 318
## [1650] 315 306 284 265 253 242 234 227 223 223 227 229 226 207 193 187 159
## [1667] 141 130 134 139 131 120 109 102 95 81 71 64 59 55 58 65 72
## [1684] 79 85 87 84 79 75 77 89 103 115 127 141 158 175 186 189 184
## [1701] 175 162 146 128 111 98 88 80 72 66 61 58 57 58 60 62 64
## [1718] 68 74 82 94 107 118 124 123 118 109 100 90 80 72 67 63 59
## [1735] 55 53 51 50 49 49 49 49 48 47 45 43 41 40 38 36 35
## [1752] 34 33 33 33 33 33 33 33 32 32 32 32 33 34 36 37 38
## [1769] 38 39 41 43 45 47 50 53 57 66 77 90 106 124 141 156 167
## [1786] 175 179 180 181 182 184 189 195 205 215 226 234 232 227 219 206 190
## [1803] 174 156 145 138 145 150 145 136 124 111 97 86 77 72 70 69 71
## [1820] 73 79 88 98 107 114 114 111 107 99 90 81 73 66 60 55 50
## [1837] 45 42 39 36 33 29 25 22 19 15 12 9 6 4 2 1 0
## [1854] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [1871] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [1888] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [1905] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [1922] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [1939] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [1956] 0 0 0 0 0 0 2 4 7 10 13 16 18 20 20 20 20
## [1973] 20 20 21 22 22 22 22 22 22 22 23 24 25 25 25 26 27
## [1990] 28 29 30 30 30 30 30 30 30 30 31 32 33 33 34 34 34
## [2007] 34 35 36 37 38 39 39 40 40 41 41 42 42 43 43 44 45
## [2024] 46 48 50 52 55 58 60 62 63 63 65 68 72 75 77 77 76
## [2041] 74 71 68 65 62 59 57 55 54 53 52 50 47 43 40 37 35
## [2058] 35 36 39 43 46 50 52 55 57 58 60 61 62 65 68 72 77
## [2075] 83 86 88 88 87 87 87 88 89 89 89 89 88 86 85 83 81
## [2092] 76 71 68 66 64 62 60 58 56 54 54 54 55 57 60 63 66
## [2109] 71 76 81 87 94 100 106 111 115 119 124 131 139 148 158 167 172
## [2126] 177 180 184 186 186 188 187 186 189 193 195 192 185 173 159 147 139
## [2143] 134 134 140 146 150 147 140 132 124 116 111 106 103 102 102 103 105
## [2160] 106 107 108 111 115 122 131 141 150 157 163 167 170 172 173 174 175
## [2177] 177 180 183 187 190 192 192 191 190 190 191 191 190 188 187 187 187
## [2194] 188 188 192 206 230 240 229 218 208 202 199 200 200 200 201 202 204
## [2211] 211 229 221 197 168 146 129 117 108 106 107 110 114 118 123 126 128
## [2228] 132 137 139 140 139 136 130 121 111 99 86 75 65 57 53 51 50
## [2245] 49 49 51 52 54 57 61 65 67 66 64 61 58 55 52 50 47
## [2262] 44 42 40 39 39 39 39 39 39 39 38 38 38 38 38 38 38
## [2279] 38 38 39 39 40 41 42 44 46 48 50 52 55 58 60 61 61
## [2296] 61 62 63 65 65 63 61 58 53 49 45 41 39 36 34 31 27
## [2313] 25 23 22 21 21 21 21 22 23 24 26 28 29 30 31 33 34
## [2330] 36 37 38 38 38 38 38 38 39 40 41 42 42 42 42 42 42
## [2347] 42 43 42 42 41 41 41 41 41 42 42 42 42 42 41 39 38
## [2364] 37 36 35 35 35 37 38 39 39 38 37 36 36 36 37 38 38
## [2381] 38 38 38 37 36 35 34 34 33 33 32 32 31 29 29 28 29
## [2398] 29 29 30 30 31 127 127 119 113 106 99 92 88 86 84 81 79
## [2415] 76 73 69 66 57 46 32 21 14 9 6 3 1 0 0 0 0
## [2432] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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## [2585] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [2602] 0 0 0 0 0 0 0 0 5 11 17 23 29 39 48 55 67
## [2619] 77 99 116 132 148 163 174 184 192 196 196 190 183 176 163 150 138
## [2636] 125 109 90 77 67 60 52 47 46 50 54 58 61 70 87 103 118
## [2653] 133 146 162 185 206 223 235 250 268 292 322 353 369 375 376 371 360
## [2670] 345 329 315 301 280 265 252 238 222 205 193 182 162 145 134 126 120
## [2687] 115 108 101 98 97 96 94 91 90 92 96 100 101 102 105 111 119
## [2704] 126 129 126 123 122 141 156 166 175 183 189 195 210 223 232 238 251
## [2721] 266 279 291 304 304 308 327 342 353 365 375 386 389 391 389 382 374
## [2738] 369 354 337 322 307 295 283 269 256 222 192 174 159 141 131 125 119
## [2755] 114 117 147 173 187 191 217 245 264 276 271 257 240 211 196 188 184
## [2772] 184 182 182 185 181 178 185 202 215 219 220 215 220 240 251 263 278
## [2789] 291 295 311 332 351 368 379 385 380 373 368 362 360 364 369 377 383
## [2806] 392 402 412 421 426 433 436 434 431 427 422 417 412 406 392 380 371
## [2823] 362 354 344 331 317 304 299 298 295 281 266 253 244 237 230 227 227
## [2840] 231 236 241 253 253 272 287 305 318 326 316 314 300 273 261 250 242
## [2857] 235 229 226 227 231 233 231 225 204 194 183 155 136 139 141 132 120
## [2874] 112 109 100 92 77 69 61 56 59 63 70 77 82 84 79 72 67
## [2891] 75 92 110 117 128 144 168 189 200 194 187 174 156 139 115 98 87
## [2908] 80 74 68 63 59 57 58 60 61 62 63 68 70 78 95 114 124
## [2925] 129 129 124 114 103 92 83 76 71 67 63 60 58 56 55 53 52
## [2942] 51 50 50 49 46 45 44 43 41 39 38 37 36 35 36 37 37
## [2959] 37 37 37 37 37 37 37 39 41 42 43 43 44 46 48 50 53
## [2976] 56 59 63 74 86 101 120 141 162 179 186 192 195 195 194 194 194
## [2993] 198 205 216 228 241 251 250 246 236 220 200 178 156 147 153 165 169
## [3010] 161 149 132 113 98 85 84 83 82 81 82 83 88 100 112 121 121
## [3027] 120 114 106 98 87 78 70 63 56 50 45 41 37 35 33 30 26
## [3044] 23 20 17 14 11 9 6 4 2 1 0 0 0 0 0 0 0
## [3061] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [3078] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [3095] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [3112] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [3129] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [3146] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [3163] 1 4 7 10 13 15 17 18 18 18 18 18 20 22 23 24 24
## [3180] 24 24 25 25 27 28 29 30 30 31 32 34 35 36 36 36 36
## [3197] 36 36 36 36 38 39 40 40 41 41 41 41 42 43 44 45 46
## [3214] 46 46 47 47 47 48 48 48 48 48 49 50 52 54 56 58 60
## [3231] 62 64 65 64 66 70 74 77 79 79 78 76 73 70 67 64 62
## [3248] 61 59 58 58 57 54 51 47 44 42 39 39 41 45 49 52 55
## [3265] 57 58 60 61 61 63 65 69 73 78 85 91 95 96 96 94 93
## [3282] 94 95 96 96 96 97 96 94 94 93 91 83 78 76 74 72 67
## [3299] 63 60 57 54 53 54 55 57 60 63 67 72 76 81 87 95 102
## [3316] 109 114 118 121 126 135 145 156 167 173 182 188 190 190 192 194 194
## [3333] 192 191 194 198 199 196 189 172 156 144 141 137 143 151 156 159 154
## [3350] 145 137 129 122 115 109 105 104 104 104 105 105 105 107 110 115 122
## [3367] 134 146 150 156 159 162 164 166 167 168 169 172 176 180 184 188 190
## [3384] 190 188 187 188 190 190 188 186 185 185 185 187 188 196 221 260 268
## [3401] 257 244 232 220 214 212 210 209 206 205 207 219 238 224 193 161 136
## [3418] 121 112 107 105 106 108 113 118 121 124 126 131 135 139 141 140 137
## [3435] 131 122 110 97 85 75 66 60 57 56 55 55 55 57 58 59 62
## [3452] 66 69 69 68 65 62 58 55 53 51 48 45 43 42 41 41 42
## [3469] 42 41 40 40 39 39 39 39 39 39 39 39 41 43 43 44 45
## [3486] 47 48 50 51 53 55 57 60 61 62 62 62 62 64 66 66 65
## [3503] 63 61 57 53 49 45 42 40 37 33 29 26 25 24 24 24 24
## [3520] 25 26 27 29 31 33 34 36 37 39 41 43 44 45 45 45 45
## [3537] 45 45 46 47 48 49 49 49 49 49 49 49 50 49 48 47 47
## [3554] 47 47 47 47 47 47 47 46 45 43 42 40 38 38 38 38 40
## [3571] 41 42 41 40 38 38 38 38 38 38 38 37 37 37 35 34 33
## [3588] 32 32 31 32 31 31 30 27 26 26 27 28 28 29 30 31 130
## [3605] 130 125 119 113 108 101 97 94 90 83 77 72 68 66 64 60 52
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## [ reached getOption("max.print") -- omitted 1342402 entries ]
That makes sense, because our test object didn't come from a file, so R didn't leave its data on disk.
test@data@inmemory
## [1] TRUE
test@data@fromdisk
## [1] FALSE
Check the CRS (aka projection) of the DEM raster data.
Transform (or reproject) the Tracts vector data to match it.
#check out its projection proj4string(DEM)
## [1] "+proj=longlat +datum=NAD27 +no_defs +ellps=clrk66 +nadgrids=@conus,@alaska,@ntv2_0.gsb,@ntv1_can.dat"
#reproject tracts to our DEM projection tracts_NAD = spTransform(tracts, CRS(proj4string(DEM)))
You can reproject the DEM with raster::projectRaster
Note how the syntax is similar to sp::spTransform
DEM_WGS = projectRaster(DEM, projectExtent(DEM, CRS(proj4string(tracts)))) # Now let's check equivalence proj4string(tracts_NAD) == proj4string(DEM)
## [1] TRUE
proj4string(DEM_WGS) == proj4string(tracts)
## [1] TRUE
Since the raster data covers a larger area than our vector data / area of interest, we can clip it.
# clip the WGS CRS version of the rasters to tracts DEM_WGS_crop = crop(DEM_WGS, extent(tracts)) # Clip the NAD CRS version DEM_crop = crop(DEM, extent(tracts_NAD))
You can plot raster and vector
plot(DEM_WGS_crop)
And we can plot raster and vector data together! Here we plot the NAD CRS version
#plot together plot(DEM_WGS_crop) plot(tracts, add = T)
We can make an interactivelyplot using TMAP
my_map <- tm_shape(DEM_WGS_crop) +
tm_raster() +
tm_shape(tracts) +
tm_borders() +
# Set mode to interactive
tmap_mode("view")
## tmap mode set to interactive viewing
my_map
And now that we've manipulated our data as desired, we can write it to disk if we like!
#write our reprojected, cropped data to the data directory, using the Geotiff format #(and allow R to overwrite if file already exists) writeRaster(DEM_WGS_crop, filename="./data/DEM_reproject_crop.tif", format="GTiff", overwrite = T)
We can use the raster::extract function to get the elevation values for each tract.
# get the elevation for every cell in each of the census tracts elev = extract(DEM_WGS_crop, tracts) #what did that give us? head(elev)
## [[1]] ## [1] 55.97961 57.98517 57.98980 58.99490 58.99491 58.99491 59.99493 ## [8] 59.99492 59.99492 59.99491 59.99998 60.00000 60.00000 60.00000 ## [15] 60.00000 60.00000 60.00000 60.00000 60.00000 60.00000 60.00000 ## [22] 60.00000 60.00000 60.00000 60.00000 60.00000 60.00000 60.00000 ## ## [[2]] ## [1] 59.00984 59.00487 59.00488 59.00002 59.00002 59.00000 58.00979 ## [8] 58.00487 58.00984 58.00485 58.00002 57.00977 ## ## [[3]] ## [1] 57.98527 57.99014 57.99016 57.99015 59.00039 58.99510 58.99509 ## [8] 58.99508 59.99514 59.99511 59.99510 59.99510 60.00000 60.00000 ## [15] 60.00000 60.00000 60.00000 60.00000 60.00000 60.00000 60.00000 ## [22] 60.00000 60.00000 60.00000 60.00000 60.00000 60.00000 60.00000 ## [29] 60.00000 60.00000 60.00000 60.00000 60.00000 60.00000 60.00000 ## [36] 60.00000 ## ## [[4]] ## [1] 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 ## [24] 60 60 60 60 60 60 60 60 60 60 60 ## ## [[5]] ## [1] 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 ## [24] 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 ## [47] 60 ## ## [[6]] ## [1] 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 ## [24] 60 60 60 60 60 60 60 60 60 60 60 60 60
Check out the data in the elev object
length(elev)
## [1] 195
nrow(tracts)
## [1] 195
A vector of the elevations for all the cells within each census tract!
length(elev)
## [1] 195
nrow(tracts)
## [1] 195
Let's get each tract's average elevation
mean_elev = lapply(elev, mean, na.rm = T) head(mean_elev)
## [[1]] ## [1] 59.60425 ## ## [[2]] ## [1] 58.42156 ## ## [[3]] ## [1] 59.6645 ## ## [[4]] ## [1] 60 ## ## [[5]] ## [1] 60 ## ## [[6]] ## [1] 60
Let's add this to the tracts_NAD df NOTE: the order remains the same, so we can just add this right in!
tracts$mean_elev = unlist(mean_elev)
#what did we get?
elev_map <- tm_shape(tracts) +
tm_polygons(col = 'mean_elev') +
tm_layout("The pain of biking in SF, by census tract",
inner.margins=c(0,0,.1,0), title.size=4.8)
elev_map
We can also pass a function argument to raster::extract
elev = extract(DEM_WGS_crop, tracts, fun=mean) #what did that give us? head(elev)
## [,1] ## [1,] 59.60425 ## [2,] 58.42156 ## [3,] 59.66450 ## [4,] 60.00000 ## [5,] 60.00000 ## [6,] 60.00000
Can you see the difference between mapping a vector layer on top of a raster layer (my_map) compared to summarizing raster values by vector polygons and then mapping the polygon features (elev_map)?
This section will feature a number of challenges, to get you practicing some of the material we've already covered today.
You have another raster dataset in your ./data directory. The file is called nlcd2011_sf.tif. This is data from the National Land Cover Database (NLCD; https://www.mrlc.gov/nlcd11_leg.php). It's 2011 data that was downloaded from https://viewer.nationalmap.gov/basic. Read that file in as an object called nlcd, and plot it.
#read in nlcd data
nlcd = raster('./data/nlcd2011_sf.tif')
#plot nlcd
plot(nlcd)
freq(nlcd)
## value count ## [1,] 11 222187 ## [2,] 21 21713 ## [3,] 22 19966 ## [4,] 23 61919 ## [5,] 24 54480 ## [6,] 31 1150 ## [7,] 41 294 ## [8,] 42 3406 ## [9,] 43 4744 ## [10,] 52 7224 ## [11,] 71 2109 ## [12,] 90 267 ## [13,] 95 45
barplot(nlcd)
This is a categorical raster. Each cell on the raster holds a discrete (integer) value, coding a particular type of land-cover (rather than a continuous value, like we saw with our elevation data above).
Where do we do to figure out what the codes mean? This should come with the metadata that ships with your data. [Here] (https://www.mrlc.gov/nlcd11_leg.php) is a layout of the NLCD codes.
Now that we've read in our NCLD data, check if we need to reproject it (we want it to be in the same projection as our tracts object), and project it if need be. Then crop it to the extent of our tracts object.
#check projection equality proj4string(nlcd) == proj4string(tracts)
## [1] FALSE
#reproject nlcd_WGS = projectRaster(nlcd, projectExtent(nlcd, CRS(proj4string(tracts)))) #check projection equality again proj4string(nlcd_WGS) == proj4string(tracts)
## [1] TRUE
#crop nlcd_WGS_crop = crop(nlcd_WGS, extent(tracts))
When we're working with a categorical raster, we'll often want to reclass our data. We may want to do this because:
Let's reclass our NLCD data. First we'll need to define a reclassification matrix with 3 columns (low, high, to):
?reclassify
reclass_df <- c(0, 12, NA, # water will be set to NA (i.e. 'left out' of our analysis)
20, 21, 1, # we'll treat developed open space as greenspace, based on NLCD description
21, 30, 0, # developed and hardscape will have 0s
30, 32, NA,
40, Inf, 1) # greensapce will have 1s
reclass_df
## [1] 0 12 NA 20 21 1 21 30 0 30 32 NA 40 Inf 1
reclass_m <- matrix(reclass_df, ncol = 3, byrow = TRUE) reclass_m
## [,1] [,2] [,3] ## [1,] 0 12 NA ## [2,] 20 21 1 ## [3,] 21 30 0 ## [4,] 30 32 NA ## [5,] 40 Inf 1
nlcd_green <- reclassify(nlcd, reclass_m)
What did we get?
freq(nlcd_green)
## value count ## [1,] 0 136365 ## [2,] 1 39802 ## [3,] NA 223337
What did we get?
barplot(nlcd_green)
What did we get?
plot(nlcd_green)
Just like we did earlier with our elevation data, let's extract our reclassed NLCD data to our census-tract polygons.
#extract the mean nlcd_simple values to tract polygons greenspace = c(extract(nlcd_green, tracts, fun=mean))
greenspace
## [1] 0.000000000 0.000000000 0.181818182 0.000000000 0.014409222 ## [6] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 ## [11] 0.002645503 0.024896266 0.156028369 0.000000000 0.012000000 ## [16] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 ## [21] 0.000000000 0.025236593 0.000000000 0.016216216 0.003610108 ## [26] 0.044526902 0.073226545 0.030985915 0.002252252 0.011019284 ## [31] 0.000000000 0.001766784 0.006389776 0.205183585 0.085284281 ## [36] 0.000000000 0.000000000 0.036830357 0.048257373 0.028846154 ## [41] 0.000000000 0.000000000 0.122137405 0.003067485 0.000000000 ## [46] 0.000000000 0.004434590 0.000000000 0.053927315 0.049600000 ## [51] 0.073426573 0.000000000 0.000000000 0.000000000 0.000000000 ## [56] 0.000000000 0.003846154 0.000000000 0.000000000 0.019553073 ## [61] 0.007604563 0.070878274 NA 0.010152284 0.000000000 ## [66] 0.000000000 NA 0.000000000 0.093908629 0.019448947 ## [71] 0.001560062 0.000000000 0.004962779 0.055045872 0.041994751 ## [76] 0.070388350 0.000000000 0.098298677 0.000000000 0.203619910 ## [81] 0.096518987 0.000000000 0.000000000 0.047197640 NA ## [86] 0.000000000 0.000000000 0.000000000 0.004728132 0.000000000 ## [91] 0.048192771 0.061959654 0.000000000 0.011126565 0.109345794 ## [96] 0.000000000 0.000000000 0.000000000 NA NA ## [101] NA NA 0.003322259 NA 0.000000000 ## [106] 0.000000000 0.000000000 0.019417476 NA 0.000000000 ## [111] 0.136231884 0.288321168 0.015479876 0.007042254 0.354505170 ## [116] 0.000000000 0.045000000 0.000000000 0.019973369 NA ## [121] 0.001412429 0.125845737 0.068904594 0.070707071 0.040000000 ## [126] 0.017369727 0.014475271 0.000000000 0.002375297 NA ## [131] 0.041916168 0.102430556 0.028516191 0.000000000 0.036222510 ## [136] 0.000000000 0.010152284 0.000000000 NA 0.000000000 ## [141] 0.000000000 0.000000000 0.015122873 NA NA ## [146] NA 0.000000000 NA NA 0.000000000 ## [151] 0.000000000 0.000000000 0.000000000 0.008108108 0.005504587 ## [156] 0.000000000 0.021346470 0.012437811 0.003623188 0.000000000 ## [161] 0.000000000 0.078918919 0.002421308 0.000000000 0.005813953 ## [166] NA NA 0.031963470 0.000000000 0.002288330 ## [171] 0.077849861 0.365384615 0.018826135 0.000000000 0.000000000 ## [176] NA NA 0.000000000 NA 0.002512563 ## [181] 0.000000000 0.097953216 0.048179872 0.017057569 0.000000000 ## [186] 0.028735632 0.000000000 0.025974026 0.264018692 0.225685786 ## [191] 0.040254237 0.000000000 NA 0.697171381 NA
What's with all the NAs?
Remember, we set all water cells to NA, to ignore them in our analysis.
Try to run the same command again, but telling the extract function to ignore NAs.
The na.rm argument will do this for us. See how the docs indicate that it is set to FALSE by default?
?raster::extract
Good to know! Also good to know that this is a common argument across a variety of R operations.
#extract the mean nlcd_simple values to tract polygons, #this time setting na.rm to TRUE greenspace = extract(nlcd_green, tracts, fun=mean, na.rm = T) #and add to our tracts dataframe (which we can do because order is preserved) tracts$prop_greenspace = greenspace
Pulling code from the end of Part II of this workshop, let's aggregate our homes data to the tract level too.
#aggregate totvalue to tracts tracts_w_mean_val = aggregate(x = sfhomes15_sp['totvalue'], by = tracts, FUN = mean)
#use a quick tmap to check that it looks like sensible output qtm(tracts_w_mean_val, fill = 'totvalue')
#and add the mean_val column to our tracts dataframe tracts$mean_totvalue = tracts_w_mean_val$totvalue
Do mean elevation and proportion greenspace predict mean total home values in each tract?
mod = lm(mean_totvalue ~ mean_elev + prop_greenspace, data = tracts) summary(mod)
## ## Call: ## lm(formula = mean_totvalue ~ mean_elev + prop_greenspace, data = tracts) ## ## Residuals: ## Min 1Q Median 3Q Max ## -712218 -309658 10371 248683 1761555 ## ## Coefficients: ## Estimate Std. Error t value Pr(>|t|) ## (Intercept) 1166867.7 61281.3 19.041 <2e-16 *** ## mean_elev 1328.7 841.4 1.579 0.116 ## prop_greenspace -146483.7 249435.7 -0.587 0.558 ## --- ## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 ## ## Residual standard error: 378200 on 184 degrees of freedom ## (8 observations deleted due to missingness) ## Multiple R-squared: 0.01384, Adjusted R-squared: 0.003118 ## F-statistic: 1.291 on 2 and 184 DF, p-value: 0.2775
Not at the census-tract level. But that's kind of coarse…
What if we want to do the analysis at the property level?
Here's a workflow that puts together a bunch of what we've learned over Parts I to III of the workshop!
#First, we'll take a random subset of our 2015 homes, so that our analysis doesn't take so long to compute. sfhomes15_sample = sfhomes15_sp[sample(seq(nrow(sfhomes15_sp)), replace = FALSE, size = 2000), ]
Now let's reproject all our data to a UTM projection, so that we units of meters rather than decimal degrees.
#reproject
sfhomes15_utm <- spTransform(sfhomes15_sample, CRS("+init=epsg:26910"))
DEM_utm = projectRaster(DEM, projectExtent(DEM, CRS(proj4string(sfhomes15_utm))))
nlcd_green_utm = projectRaster(nlcd_green, projectExtent(nlcd_green, CRS(proj4string(sfhomes15_utm))))
#check that the projections are all good
proj4string(sfhomes15_utm) == proj4string(DEM_utm)
## [1] TRUE
proj4string(sfhomes15_utm) == proj4string(nlcd_green_utm)
## [1] TRUE
Now let's buffer all our homes with a 100-meter buffer, then sum the greenspace within those buffers.
#create buffer sfhomes15_utm_buff = gBuffer(sfhomes15_utm, width = 100, byid = T) #sum the greenspace within the buffers #NOTE: This will take a couple minutes to run... greenspace_homes = extract(nlcd_green_utm, sfhomes15_utm_buff, fun = sum, na.rm = T) #add that as a column in our sfhomes15_utm dataframe sfhomes15_utm$greenspace = greenspace_homes
And now let's extract the elevation at each home.
#extract the elevation to the homes #NOTE: no need for fun or na.rm arguments here, because the homes #and points, not polygons, so only a single cell will extract to each elev_homes = extract(DEM_utm, sfhomes15_utm) #add that as a column in our sfhomes15_utm dataframe too sfhomes15_utm$elev = elev_homes
Now, how about that regression model?
mod = lm(totvalue ~ elev + greenspace, data = sfhomes15_utm) summary(mod)
## ## Call: ## lm(formula = totvalue ~ elev + greenspace, data = sfhomes15_utm) ## ## Residuals: ## Min 1Q Median 3Q Max ## -1127496 -407431 -105981 284909 1763901 ## ## Coefficients: ## Estimate Std. Error t value Pr(>|t|) ## (Intercept) 1188952.6 22828.4 52.082 <2e-16 *** ## elev 702.2 313.7 2.238 0.0253 * ## greenspace 2868.8 6043.3 0.475 0.6350 ## --- ## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 ## ## Residual standard error: 549500 on 1997 degrees of freedom ## Multiple R-squared: 0.002945, Adjusted R-squared: 0.001947 ## F-statistic: 2.95 on 2 and 1997 DF, p-value: 0.05259
Mehhh… Some signal for elevation, but very low R^2.
Neat analysis though!
What about working with multiple rasters?
Data on summertime coastal fog in CA (a.k.a. Karl)
#(from http://climate.calcommons.org/dataset/monthly-summertime-fog)
#(units are in average hours per day)
karl_files = unique(gsub('.aux.xml', '', list.files('./data/CalMnYr')))
karl_files = karl_files[grep('flcc', karl_files)]
# Take a look
karl_files
## [1] "flcc1999aug" "flcc1999jul" "flcc1999jun" "flcc1999sep" "flcc2000aug" ## [6] "flcc2000jul" "flcc2000jun" "flcc2000sep" "flcc2001jul" "flcc2001jun" ## [11] "flcc2001sep" "flcc2002aug" "flcc2002jul" "flcc2002jun" "flcc2002sep" ## [16] "flcc2003aug" "flcc2003jul" "flcc2003jun" "flcc2003sep" "flcc2004aug" ## [21] "flcc2004jul" "flcc2004jun" "flcc2004sep" "flcc2005aug" "flcc2005jul" ## [26] "flcc2005jun" "flcc2005sep" "flcc2006aug" "flcc2006jul" "flcc2006sep" ## [31] "flcc2007aug" "flcc2007jul" "flcc2007jun" "flcc2007sep" "flcc2008aug" ## [36] "flcc2008jul" "flcc2008jun" "flcc2008sep" "flcc2009aug" "flcc2009jul" ## [41] "flcc2009jun" "flcc2009sep"
Read all of the KARL files into one RasterStack object
karl <- stack(paste0('./data/CalMnYr/', karl_files))
# look at what we made
karl
## class : RasterStack ## dimensions : 256, 250, 64000, 42 (nrow, ncol, ncell, nlayers) ## resolution : 0.0314827, 0.0314827 (x, y) ## extent : -128.0284, -120.1578, 33.96418, 42.02375 (xmin, xmax, ymin, ymax) ## coord. ref. : +proj=longlat +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +no_defs ## names : flcc1999aug, flcc1999jul, flcc1999jun, flcc1999sep, flcc2000aug, flcc2000jul, flcc2000jun, flcc2000sep, flcc2001jul, flcc2001jun, flcc2001sep, flcc2002aug, flcc2002jul, flcc2002jun, flcc2002sep, ... ## min values : 1.85, 0.56, 1.69, 0.26, 0.78, 1.05, 1.23, 1.74, 1.29, 1.32, 1.23, 0.30, 1.20, 0.13, 0.86, ... ## max values : 15.72, 18.56, 17.84, 18.26, 14.84, 18.21, 17.37, 12.18, 20.44, 16.50, 15.20, 17.65, 16.85, 14.87, 14.87, ...
A RasterStack object - literally what it sounds like!
#plot one plot(karl[[7]]) plot(tracts, add = T)
What's the projection of the RasterStack?
What's the projection of the RasterStack?
#what's the projection? proj4string(karl)
## [1] "+proj=longlat +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +no_defs"
Let's reproject this
karl_WGS = projectRaster(karl, projectExtent(karl, CRS(proj4string(tracts)))) # check resultant CRS proj4string(karl_WGS) == proj4string(tracts)
## [1] TRUE
What type of spatial object did that give us?
karl_WGS
## class : RasterBrick ## dimensions : 256, 250, 64000, 42 (nrow, ncol, ncell, nlayers) ## resolution : 0.0314827, 0.0314827 (x, y) ## extent : -128.0284, -120.1578, 33.96418, 42.02375 (xmin, xmax, ymin, ymax) ## coord. ref. : +proj=longlat +datum=NAD83 +no_defs +ellps=GRS80 +towgs84=0,0,0 ## data source : in memory ## names : flcc1999aug, flcc1999jul, flcc1999jun, flcc1999sep, flcc2000aug, flcc2000jul, flcc2000jun, flcc2000sep, flcc2001jul, flcc2001jun, flcc2001sep, flcc2002aug, flcc2002jul, flcc2002jun, flcc2002sep, ... ## min values : 1.85, 0.56, 1.69, 0.26, 0.78, 1.05, 1.23, 1.74, 1.29, 1.32, 1.23, 0.30, 1.20, 0.13, 0.86, ... ## max values : 15.72, 18.56, 17.84, 18.26, 14.84, 18.21, 17.37, 12.18, 20.44, 16.50, 15.20, 17.65, 16.85, 14.87, 14.87, ...
A RasterBrick. What does that mean?
# See the documentation! ?raster::brick
Crop it to the extent of our area of interest - SF
# Crop it to tracts karl_WGS_crop = crop(karl_WGS, extent(tracts)) #Note that R vectorized that operation across our entire RasterBrick, the same way that it vectorizes many operations, e.g. 3<4 vs 3< seq(4)
# now let's make our same plot again par(mfrow = c(1,2)) plot(karl[[7]]) plot(tracts, add = T) plot(karl_WGS_crop[[7]]) plot(tracts, add = T)
Let's mean the karl values across the RasterBrick
# Mean values mean_karl_WGS_crop = mean(karl_WGS_crop)
What did that give us?
mean_karl_WGS_crop
## class : RasterLayer ## dimensions : 5, 6, 30 (nrow, ncol, ncell) ## resolution : 0.0314827, 0.0314827 (x, y) ## extent : -122.519, -122.3301, 37.71062, 37.86803 (xmin, xmax, ymin, ymax) ## coord. ref. : +proj=longlat +datum=NAD83 +no_defs +ellps=GRS80 +towgs84=0,0,0 ## data source : in memory ## names : layer ## values : 4.71, 12.3719 (min, max)
When we computed the mean of a RasterBrick we got back a RasterLayer object! That makes sense, because we took cellwise means across all Layers in our Brick.
This is called raster algebra
plot(mean_karl_WGS_crop) plot(tracts, add = T)
Not all common operations successfully run as raster algebra
# This won't work sd_karl_WGS_crop = sd(karl_WGS_crop)
Let's try this instead
sd_karl_WGS_crop = calc(karl_WGS_crop, sd)
#plot that too par(mfrow = c(1,2)) plot(mean_karl_WGS_crop) plot(tracts, add = T) plot(sd_karl_WGS_crop) plot(tracts, add = T)
Looks like the foggiest neighborhoods also have the highest variation in fog, but some less foggy neighborhoods on the east side of the city (e.g. The Inner Mission, Bayview) also vary quite a bit
Extract fog values to our tracts
tracts$mean_karl = extract(mean_karl_WGS_crop, tracts, mean)
Maybe fogginess is a function of elevation? That would make sense, right?
# Linear regression model mod = lm(mean_karl ~ mean_elev, data = tracts)
summary(mod)
## ## Call: ## lm(formula = mean_karl ~ mean_elev, data = tracts) ## ## Residuals: ## Min 1Q Median 3Q Max ## -2.0659 -1.2745 -0.3786 0.9346 4.2184 ## ## Coefficients: ## Estimate Std. Error t value Pr(>|t|) ## (Intercept) 7.830075 0.242622 32.273 < 2e-16 *** ## mean_elev 0.009123 0.003334 2.736 0.00685 ** ## --- ## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 ## ## Residual standard error: 1.491 on 180 degrees of freedom ## (13 observations deleted due to missingness) ## Multiple R-squared: 0.03992, Adjusted R-squared: 0.03459 ## F-statistic: 7.485 on 1 and 180 DF, p-value: 0.006845
Neat! Census-tract mean elevation has a significant, positive effect on mean fogginess (with each meter increase in elevation causing on average a .011 hour, or about 39-second increase in time spent in fog on an average summer day. Though this only explains about 35% of the variance in our data.
Additional Resources - https://cran.r-project.org/web/packages/raster/vignettes/Raster.pdf - https://www.neonscience.org/raster-data-r - https://nceas.github.io/oss-lessons/spatial-data-gis-law/4-tues-spatial-analysis-in-r.html - https://geoscripting-wur.github.io/IntroToRaster/